Two water taps together can fill a tank in hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

Match the items on the right to the items on the left.

STEP 1

STEP 2

STEP 3

STEP 4

STEP 5

STEP 6

Let the smaller diameter tap fill the reservoir in ‘a’ hours.
Larger diameter tap fills it in ‘a – 10’ hours.

Given, two water taps together can fill a tank in = 75/8 hours.
In 1 hour, part of tank filled = 8/75

Value of a can’t be 15/4 as (a – 10) will be negative

Thus a = 25,Time taken by faster tap = 25 – 10 = 15 hours