10 women or 8 men can finish a piece of construction work in 11 days. In how many days, 5 women and 7 men will be able to finish the same work?
(4 marks)

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Solution

According to the question, 10 women or 8 men can finish a piece of given construction work
⇒ 10 women = 8 men

⇒ 1 woman = $\frac{8}{10}$ men
(1 mark)

⇒ 5 women = $\frac{8 \times 5}{10}$ = 4 men

⇒ 5 women and 7 men = 4 men + 7 men = 11 men
(1 mark)

Given that, 8 men can finish a work in 11 days

⇒ 1 man can finish the work in 11 × 8 days
(1 mark)

⇒ 11 men will be able to finish the work in $\frac{11 \times 8}{11}$ days that is 8 days.
(1 mark)

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10 women or 8 men can finish a piece of construction work in 11 days. In how many days, 5 women and 7 men will be able to finish the same work? (4 marks)

10 women or 8 men can finish a piece of construction work in 11 days. In how many days, 5 women and 7 men will be able to finish the same work?
(4 marks)