Question

two taps can we fill a tank in 6 hour together a tap takes 5hours less than b to feel the tank on how long will be be take to fill it​

Answer 1

Step-by-step explanation:

Correct Question:

Two taps together can fill a tank in 6 hours

Tap A takes 5 hours less than Tap B to fill the tank. How long will Tap B fill it.

Solution:

Tap A and B can fill a tank in 6 hours.

In 1 hour, Tap A and B can fill 1/6 th part of the tank.

Let the time taken by Tap B to fill the tank be x hours .

Hence, time taken by Tap A to fill the tank

= ( x - 5 ) hours

In 1 hour, Tap B can fill 1/x th part of the tank

In 1 hour, Tap A can fill 1/( x - 5 ) th part of the tank.

A/q,

=> 1/x + 1/(x - 5) = 1/6

=> 6 = x + ( x - 5 )

=> 6 = x + x - 5

=> 6 = 2x - 5

=> 6 + 5 = 2x

=> 11 = 2x

=> x = 11/2

Hence, Tap B can fill the tank in 11/2 hours

& Tap A can fill the tank in (11/2 - 5) hours.

= ( 11 - 10 )/2 = 1/2 hours

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