RATE 1) AN IVBAG WITH 1000 ML OF FLUID

RATE 1) AN IVBAG WITH 1000 ML OF FLUID




Rate



Rate








1) An IV-bag with 1000 ml of fluid is delivering fluid to a patient at the rate of 3 ml per minute. After the first three hours, how many ml of fluid will remain in the IV bag? (1) 2004-WU2-2


2) If Andy bikes at a steady rate of 15 miles per hour, how many miles will he bike in four minutes? (2) 2004-WO1-6


3) Christine jogged for half an hour. Amy walked for 50 minutes. Using the information in the table about exercise and calories burned, how many more calories than Amy did Christine burn? (1) 2004-WU3-8

Activity

Calories Burned per 5 Minutes

Walking

28

Jogging

57




4) Julia jogs at a rate of 6 miles per hour. What is her rate in feet per second? (3) 2004-WU5-5


5) Two cars leave Arlington on I-20, one traveling due east and one traveling due west. One car is moving at a rate of 37 miles per hour, and the other is traveling at a rate of 41 miles per hour. How many miles from each other will they be in four hours? (2) 2004-WO3-5


6) At sea level, air pressure is 14.7 pounds per square inch. If the pressure under water increases by 4.3 lbs/in2 for every 10 feet you descend, how many times greater is the pressure at 400 feet below sea level than at sea level? (3) 2004-WO3-9


7) The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 3.5 miles. He finished the race in 1 hour, 2 minutes and 2 seconds. For the entire triathlon, what was his average speed in feet per second? (3) 2004-WO4-3


8) George’s first trip was 300 miles. If on his second trip, the time necessary to complete the trip doubled and his average speed is two-thirds the average speed of his first trip, how many miles is this second trip? (3) 2004-WO4-9


9) Each student works at the same speed. If five students can complete a job in six days, how many days would it take three students to complete the same job? (3) 2004-WU14-10


10) Lisa flies from San Francisco to New York (2500 mi) in 5.5 hours and then flies from New York to Rome (3500 mi) in 7 hours. What was his average speed (in mph) for her entire trip? (3) 2004-WO7-3


11) One pump can empty a tank in eight hours. A second pump can empty the same tank in five hours. What is the positive difference between the time it would take the faster pump to empty the tank working alone and the time it would take for the two pumps to work together? (3) 2004-WU15-5


12) A toy maker can make a doll in 20 minutes, and he can make a train in 15 minutes. The dolls will be sold for a profit of $7 each and the trains will be sold for a profit of $5 each. If the toy maker must make at least as many trains as dolls, what is the greatest possible profit that can be made from the toy maker’s work during an eight-hour period? (3) 2004-WU17-10


13) A stone is dropped into a well and the splash is heard 8.9 seconds after it was dropped. The stone falls at a rate of 16t2 feet in t seconds, and the speed of sound is 1120 feet per second. What is the distance from the well to the top of the water? Round to nearest whole number. (2)


14) At 7:40 p.m., Brett passed mile marker 134. At 8:20, he passed mile marker 176. What is his average speed in miles per hour? (2) 1999-WU9-2


15) Two students set their digital watches to 10:00. One watch runs one minute per hour slow, and the other watch runs 2 minutes per hour too fast. What time will the slow watch show when it is exactly one hour behind the fast watch? (2) 1999-WU13-7


16) A high school football player runs 40 yards in 4.5 seconds. If he were to maintain his speed, how many miles would he run in one hour? Round to the nearest tenth. (2) 1999-WO1-10


17) The speed of light is 186,000 miles per second. How many miles per hour is the speed of light? Express your answer in scientific notation to one decimal place (2) 1999-WO6-5




18) Jack starts at the summit of Mt. McKinley (elevation, 20,320 feet) and travels down the mountain at a rate of 4 feet per second. Jill starts at the bottom at the same time and travels up the mountain at a rate of 1 foot per second. At what elevation will they meet? (2) 2000-WU2-1


19) A printer can print 10 pages of text per minute or 4 pages of graphics per minute. How many minutes will it take to print 31 pages of text and 7 pages of graphics? (2) 2000-WU3-10


20) A faucet leaked at a rate of 1 pint every 2 hours for 4 full days. How many gallons of water leaked from the faucet? (1) 2000-WU4-5


21) A train leaves Boston at 8:00 am and travels the 216 miles to New York at a speed of 90 mph. At what time in the morning does the train arrive in New York? (1) 2000-WU4-6


22) With 2 minutes left in the game, Madison leads Crescent Valley 76 to 69. Madison scores two points every minute. For Crescent Valley to win the game by at least one point, what is the minimum number of points per minute that they must average? (1) 2000-WU10-4


23) A car’s odometer reads 62,926 miles at 10:18 a.m. At 11:58, the odometer displayed the next possible number that read the same forward and backward. During that time, what was the car’s average speed in miles per hour? (1) 2000-WU12-5


24) A large pump can fill a pool in five hours, and a small pump can fill the pool in 6 hours. At 10 a.m., the slower pump is turned on, and at 11 a.m., the faster pump is turned on. What time in the afternoon will it be when the pool is full? (3) 2000-WO5-7


25) A 26,000-mile, non-stop balloon trip took 19 days. What was the average speed in miles per hour? Round to nearest whole number. 2000-WO6-5


26) Howard ran a half-marathon (13.1 miles) in 2 hours. He completed the first 10 miles in 95 minutes. How many minutes per mile did Howard average for the remainder of the race? Round to the nearest tenth. 2000-WO6-9


27) Theresa runs one mile at 4 miles per hour, three miles at 5 miles per hour, and then four miles at 6 miles per hour. What is her average speed in miles per hour? Round to nearest tenth. (3) 2000-WO7-5


28) Trucker Trent drove 15 hours at an average speed of 63 miles per hour. He gets paid 40 cents per mile. How much money did he earn from the trip? (1) 2000-WO8-5


29) Green Cab charges 25 cents per 1/5 mile traveled. Yellow Cab charges 35 cents per minute traveled. Bob takes a ten-mile cab ride at an average speed of 30 miles per hour. How much more would Green Cab charge than Yellow Cab for this ride? Round to nearest cent. (2) 2003-WO1-4


30) A landowner in Missouri employed 10 laborers to plant a total of 10,000 seedlings. If each laborer planted one seedling every 15 seconds, in how many minutes were all 10,000 seedlings planted? (2) 2003-WO2-8


31) In the 2000 summer Olympics, the women’s 400-meter freestyle took 4 minutes 4 seconds to swim her race. The 200-meter freestyle winner took 1 minute 57 seconds. If the 400-meter winner had swum her whole race at the same average speed as the 200-meter winner, by how many seconds would she have reduced her time? (3) 2003-WU5-3


32) A discount food store allows you to buy a total of 150 lbs of beef by paying $13.15 each week for 17 weeks. What is the cost per pound? (2) 2003-WO3-10


33) Carla must arrive at the airport that is 49 miles away in 70 minutes or less. What is the minimum average speed in miles per hour that Carla must maintain to get to the airport in 70 minutes or less? Round to a whole number. (2) 2003-WO9-8


34) At 5:30 a.m., a freight train leaves St. Louis towards Chicago traveling at a constant speed of 80 kilometers per hour. On a parallel track, an express train leaves St. Louis at 6:00 a.m., travels at 100 kilometers per hour, and arrives at Chicago at 11:30 a.m. When the express train arrives in Chicago, how many kilometers is the freight train still from Chicago? (3) 2003-WO10-5


35) In 1994, the average American drank 60 gallons of soft drinks. How many ounces per day of soft drink did the average American drink in 1994? There are 128 ounces in one gallon. Round to the nearest whole number. (1) 2002-WO1-5


36) A truck drive averaged 55 miles per hour for five hours of his shift and 65 miles per hour for the remaining three hours of his shift. What was the total number of miles driven? (1) 2002-WU9-2


37) Jeremy starts jogging at a constant rate of five miles per hour. Half an hour later, David starts running along the same route at a constant rate of seven miles per hour. For how many minutes must David run to catch Jeremy? (2) 2002-WU11-6


38) What is 100 km/h in meters per second? Express as a decimal to the nearest hundredth. (3) 2002-WU17-1


39) The speed of sound is 1100 feet per second. What is the speed of sound in miles per hour? (3) 1997-WU17-7


40) Between 10:50 am and 1:30 pm, Bill rides 42 miles on his bicycle. What is his average speed in miles per hour? Round to nearest hundredth. (2) 2001-WO2-2


41) A car traveled at an average rate of 66 feet per second for 160 minutes. How many miles did the car travel? (2) 2001-WO3-4


42) Two horses on a merry-go-round are placed 8 and 17 feet from the center of circular path they follow. The horses make one complete rotation in nine seconds. What is the positive difference, in feet per second, between the average speeds of the horses? Round to nearest tenth. (3) 2001-WO4-9


43) Half of the time during Jill’s 25-mile trip to her Grandma’s house, her car averaged 45 mph. Given that the trip took 40 minutes, how many mph was her speed for the rest of the trip? (3) 2001-WU12-5


44) How many meters can Ralphie run at 2 m/sec in the same time it takes Fide to go 2000 m when he’s running at 1.6 m/sec? (2) 2001-WO4-7


45) An airplane flying at an altitude of 30,000 feet above sea level descends at a rate of 1200 feet per minute for 15 minutes. How many feet above sea level is the plane at the end of the fifteen-minute descent? (2) 1996-WO2-4


46) Two runners jog around an oval path at constant rates, but in opposite directions. One runner completes a lap every 10 minutes, and the other does a lap every 12 minutes. How many minutes elapse between consecutive meetings of the runners? (2) 1993-WU10-2


47) At Pizza Perfect, Ron and Harold make pizza crusts. When they work separately Ron finishes the job of making 100 crusts 1.2 hours before Harold finishes the same job. When they work together they finish making 100 crusts in 1.8 hours. How many hours, to the nearest tenth of an hour, does it take Ron working alone to make 100 crusts? (3) 1993-WU11-10


48) A team of eight weightlifters can lose 32 pounds in a 40-minute workout. How many additional weightlifters must be added to the team in order for the entire group to lose 32 pounds in a 20-minute workout if the new members lose weight at a rate 1/3 as fast as the original members? (2) 1993-WU19-10


49) If 6 computer programmers can write 8 computer programs in 3 days, how many programmers will be required to write a series of 20 similar programs in 15 days? (2) 1993-WO2-3


50) Tom drives his SUV 20,000 miles a year getting 16 miles per gallon. How many gallons of gas would he save if he traded in his SUV for a sedan that gets 25 miles per gallon? (1) 1995-WU7-8


51) Diana can put the mailing labels on the newsletters in 3 hours. If Terry helps, they can do the job in 1 hour. working at the same rate, how long would it take Terry to do the job by himself? (1) 1995-WU20-3


52) A Major League Baseball pitcher can throw a baseball 95 miles per hour. The ball travels at that speed for 56 feet, until it arrives at the batter. How many seconds, to the nearest thousandths of a second, does the batter have from the moment the ball is thrown until it arrives? (3) 1995-WO9-5


53) Scott is leaving his office to attend a meeting. If he drives 38 mph, he will arrive one hour late. If he drives 57 mph, he will arrive one hour early. How many mph must he average to arrive on time? Express the answer to the nearest tenth.

(3) 1995-WO10-10


Answers:


1) 460 ml


2) 1 mile


3) 62 calories


4) 8.8 ft/sec


5) 312 miles


6) 12.7


7) 27 ft/sec


8) 400 miles


9) 10 days


10) 480 mph


11) 25/13 hrs


12) $164


13) 1021 ft


14) 63 mph


15) 5:40


16) 18.2


17) 6.7 x 108


18) 4064 ft


19) 4 17/20 min


20) 6 gallons


21) 10:24


22) 12

23) 66 mph


24) 1:16


25) 57 mph


26) 8.1 min/mi


27) 5.3 mph


28) $378


29) $5.50


30) 250


31) 10 sec


32) $1.19


33) 42


34) 70 km


35) 21


36) 470 miles


37) 75 min


38) 27.78 m/sec


39) 750


40) 15.75


41) 120 miles


42) 6.3 ft/sec


43) 30 mph


44) 2500 m


45) 82.2 ft

46) 5 5/11 min


47) 3.1 miles


48) 24


49) 3
















Tags: fluid is, of fluid, ivbag, fluid