Selina solutions

Selina solutions

Grade 7

Unitary Method (including Time and Work) | Exercise 7(C)

Question 11

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Question 11

Q11) A, B and C together finish work in 4 days. If A alone can finish the same work in 8 days and B in 12 days, find how long it will C take to finish the work.

Solution:

A, B and C finish work together in = 4 days

A,B and C finish work together in 1 day = \frac{1}{4}

A’s one day work = \frac{1}{8}

B’s one day work = \frac{1}{12}

∴ C’s one day work = \frac{1}{4}-[\frac{1}{8}+\frac{1}{12}]=\frac{6-(3+2)}{24}=\frac{1}{24}

∴ C can finish the work in = 24 days

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