Selina solutions

Selina solutions

Grade 7

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

Question 1

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Question 1

Q1) A can do a piece of work in 6 days and B can do it in 8 days. How long will they take to complete it together?

Solution:

A can do a work in = 6 days

∴ A’s one day’s work = \frac{1}{6}

B can do the same work in = 8 days

∴ B is one day’s work = \frac{1}{8}

∴ A and B’s both one day’s work

=\frac{1}{6}+\frac{1}{8}=\frac{4+3}{24}=\frac{7}{24}

∴ Both A and B can do the same work in

\frac{24}{7}=3\frac{3}{7}days

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