If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will be taken by the second pipe to fill the reservoir.

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15 hours

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30 hours

answer is B.

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Detailed Solution

Concept: We'll just employ the method for identifying the components filled by each pipe.
Consider the pipes as pipe A and pipe B,
Time taken to fill the reservoir when both pipes A and B function at the same time

When working together, pipes A and B fill a portion of the reservoir each hour

Additionally, given that pipe A fills the reservoir 10 hours faster than pipe B, if pipe A alone takes

hours to fill the reservoir, for example, pipe B alone will take

hours to fill the reservoir.
Pipe A alone need

hours to sill the reservoir
Part of the reservoir filled by pipe A alone per hour

Time taken by pipe B alone to fill the reservoir

hours
Part of the reservoir filled by pipe B alone per hour

As we already know, the portion of the reservoir that is filled each hour while both pipes are operating is equal to the sum of the portions of the reservoir that are filled each hour when pipes A and B are operating separately.
Either

Considering both
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