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Question
Two taps A and B can fill an overhead tank in 10 hours and 15 hours respectively. Both the taps are opened for 4 hours and they B is turned off. How much time will A take to fill the remaining tank?
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Solution
Time taken by A to fill a tank = 10 hours
Quantity of tank filled by A in 1 hour = `1/10` units.
SImilarly, Quantity o tank filled by B in 1 hour = `1/15` units
Now, Quantity of tank filled by A and B together, in 1 hour = units `1/10 + 1/15 = 1/6` units.
Hence, Quantity of tank filled by A and B together, in 4 hours = `4 xx 1/6 = 2/3` units.
Quantity of tank left to be filled = `1 - 2/3 = 1/3`units.
Therefore, time taken by A to fill `1/3` units of tank = `1/3 * (10)`
`3 1/3` hours.
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