Water flows into an empty 64-gallon drum through pipe A and flows out through pipe B. If the rate of flow through A is 2 gallons/hour, how many gallons per hour must flow out through pipe B so that the drum is full in exactly 96 hours?

A 3/8
B 1/2
C 2/3
D 4/3

Correct Answer: 4/3

Let the required flow rate of pipe B be X gallons per hour. Together they fill (2 - X) gallons per hour. ATQ,  64 / (2 - X) = 96) Or,  64 / 96 = 2 - X  Or,  X = 2 - 64 / 96 = 4/3 gallons per hour.
Bissoy MCQ
#গণিত #Dhaka Bank Ltd #Dhaka Bank Ltd - MTO - 2004

Related Questions

A water tank with 64-gallon capacity is filled by pipe A and emptied by pipe B. If the rate of water flow through pipe A is 2 gallons per hour, how many gallons per hour should flow through pipe B so that when both pipes are open, the initially empty tank shold be full in exactly 96 hours?
A 3/8
B 4/3
C 2/3
D 8/3
Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
A 3/4
B 5/6
C 11/12
D 7/6
A 12 gallon tub has a faucet that lets water in at a rate of 3 gallons per minute, and has a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to fill the tub completely?
A 6 minutes
B 7 minutes
C 8 minutes
D 9 minutes
Druing a special promotion, a certain filling station is offering a 10% discount on gas purchased after the first the first 10 gallons. If Kim purchased 20 gallons of gas, and Zeni purchased 25 gallons of gas, then Zeni's total per-gallon discount is what percent of Kim's total per-gallon discount?
A 80%
B 120%
C 140%
D 100%
Two tanks are filled to capacity with automobile fuel. The first tank holds 600 gallons more than the second tank. If 100 gallons were to be pumped from each tank, the first tank would then contain 3 times as much fuel as the second tank. What is the total number of gallons of fuel in the two full tanks?
A 1,400
B 1,200
C 1,000
D 900
A car goes 15 miles on a gallon of octane when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour, it only goes 80% as far. How many gallons of octane is needed to travel 200 miles if half the distance is traveled at 50 miles per hour and the rest at 60 miles per hour?
A 13.33
B 16.67
C 10.6
D 15
An empty swimming pool with a capacity of 5760 gallons is filled at the rate of 12 gallons per minute, how many hours would it take to fill the pool to the capacity?
A 8
B 20
C 96
D 480
An empty swimming pool with a capacity of 5,760 gallons is filled a rate of 12 gallons per minute. How many hours does it take to fill the pool to capacity?
A 8
B 20
C 96
D 480
Select the correct answer choice of the following Question :" An empty swimming pool with a capacity of 5760 gallons is filled at the rate of 12 gallons per minute, How many hours does it take to fill the pool to capacity?
A 08
B 09
C 11
D 10
when a truck travels at 60 miles per hour, it uses 30 percent more gasoline to travel andy distance than it does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gas if it is travelling at 50 miles per hour. The truck has only 10 gallons of gas and is 160 miles from its destination. It takes 20 minutes for the truck to stop for gas . How long will it take the truck to reach its final destination if it is driven at 60 miles per hour?
A 160 minutes
B 180 minutes
C 190 minutes
D 192 minutes

Next steps