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CBSE Class 10 Answered

Two water taps together can fill tank in 9hours 36 minutes . The tap of larger diameter takes 8 hour less than smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
Asked by singh.dh | 08 Jun, 2019, 09:43: PM
answered-by-expert Expert Answer
Let the time taken by the tap of smaller diameter be x hours.
So, time taken by the tap of larger diameter be (x - 8) hours
Work done by the tap of smaller diameter in one hour is 1/x 
So, time taken by the tap of larger diameter in one hour is 1(x - 8)
 
The work done by the 2 taps together in 1 hour 1/x + 1/(x - 8)
According to the question,
1/x + 1/(x - 8) = 5/48
Solving this we get 
5x2 - 136x + 384 = 0
x = 24 as x = 16/5 rejected
The time taken by the tap of smaller diameter be 24 hours.
Answered by Sneha shidid | 10 Jun, 2019, 10:06: AM

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