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Question

# The volume of a pool is 4000 liters. Ria's pipe takes 8 hours, while Pia's pipe takes 5 hours to fill the pool completely. If both Ria and Pia start filling the pool, how much time will they take to fill the pool completely?

A
3113 hours
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B
3213 hours
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C
31340 hours
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D
3140 hours
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Solution

## The correct option is A 3113 hoursTime taken by Ria to fill the pool = 8 hours Time taken by Pia to fill the pool = 5 hours The volume of the pool = 4000 liters Liters of water filled in 1 hour =Total volume of the poolTime taken to fill the pool So, Ria filled=40008=500 liters in 1 hour So, Pia filled=40005=800 liters in 1 hour ∴ Total liters of water filled in 1 hour by both of them = 500 + 800 = 1300 liters So, the total time taken to fill the pool completely will be =Total volume of the poolLiters of water filled in 1 hour =40001300=3113 hours Thus, the total time taken to fill the pool completely is 3113 hours.

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