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If A is thrice as fast as B and together can do a work in 21 days. In how many days A alone can do the work?

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If A is thrice as fast as B and together can do a work in 21 days. In how many days A alone can do the work?
posted Mar 14, 2016 by Naveen Kumar

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1 Answer

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26 1/4 days

If B can do x amount of work in 21 days then A can 3x amount of work in 21 days.
Solve for x: A + B = 21 days therefore 3x + x = 21 days
4x = 21 days
x = 21/4 days
x = 5 1/4 days

If B is not there then A has to do their work and B's work therefore it will take A 21 days + 5 1/4 days = 26 1/4 days

answer Mar 18, 2016 by Nicole



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