Word Problem

Question

One pipe can fill a tank in 4 hours and another pipe can fill the tank in 6 hours. How long will it take to fill the tank if both pipes are used?

Answer 1

Let R1 = rate of flow of water from pipe 1 ( Volume flowing per hour)

and V = volume of tank 

R1 = V/t1 = V /4

For pipe 2

R2 =  V/ 6

 

T = time when both pipes are used 

T = V / (R1 + R2)

T = V/ ( V/4 + V/6 )

Time taken = 2.4 hrs