Question

Pipe a and b running together can fill a cistern in 6 minutes. If b takes 5 minutes more than a to fill the cistern, then the time in a and b will fill the cistern separately what time?

Answer 1

Hey Dear,

◆ Answer -

A => 10 min

B => 15 min

◆ Explaination -

Let x and y be time taken by A and B to fill cistern independently.

According to given data, we can form equations -

6 (1/x + 1/y) = 1 ...(1)

y = x + 5 ...(2)

So putting eqn (2) in eqn (1) will be,

6 (x+y) / xy = 1

6 (x+x+5) = x (x+5)

12x + 30 = x² + 5x

x² - 7x - 30 = 0 ...(3)

Solving this eqn (3),

x = 10 min

y = x+5 = 10+5 = 15 min

Therefore, A can fill cistern in 10 min and B can fill the same in 15 min independently.

Thanks dear...