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Mathematics-CBSE-class-10-->View question

Find how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool. Mathematics CBSE class 10 2015

To fill a swimming pool two pipes are to be used. If the pipe of larger diameter is used for 4 hours and the pipe of smaller diameter for 9 hours, only half the pool can be filled. Find how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool.


Asked On2017-07-12 13:30:25 by:tarun101

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Let the time taken by the first pipe be x hours and the time taken by the second pipe be y hours.
in 1 hour the first pipe can fill it = 1/x
in 1 hour the second pipe can fill it = 1/y
1/x +1/y = 1/12 --------------(1)
4/x = 9/9 =1/2---------------(2)
Consider 1/x be a and 1/y be b.
a + b = 1/12 -------------(3)
4a + 9b = 1/2 ----------------(4)
multiply 3 by equ (4) and then subtract equ(5) from equ(4).
4a + 4b =1/3 --------------(5)
we get, b = 1/30
y = 30.
sustituting the value of y in equ(3) we get
a + 1/30 = 1/12
x = 20.
Hence the first pipe would take 20hours and the second pipe would take 30 hours.

Answerd on:2017-07-27 Answerd By:akialwayz

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