7 men or 10 women can build a wall of 100 metres in 10 days . How many days will 14 men and 20 women take to build a wall of 600 metres ? - Quantitative Aptitude MCQ Practice Test 2026 | ExamTest.live

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7 men or 10 women can build a wall of 100 metres in 10 days . How many days will 14 men and 20 women take to build a wall of 600 metres ?

Solution & Step-by-step Explanation

Given that 7 men = 10 women . Therefore, 1 man = \frac{10}{7} women . We need to find the work done by 14 men and 20 women : 14 men + 20 women = 14 \times \frac{10}{7} women + 20 women = 20 women + 20 women = 40 women Now, using the work formula: \frac{M _{1} \times D _{1}}{W _{1}} = \frac{M _{2} \times D _{2}}{W _{2}} Where: * M_{1} = 10 women * D_{1} = 10 days * W_{1} = 100 metres * M_{2} = 40 women * W_{2} = 600 metres * D_{2} = ? Substitute the values: \frac{10 \times 10}{100} = \frac{40 \times D _{2}}{600} 1 = \frac{40 \times D _{2}}{600} 40 \times D_{2} = 600 D_{2} = \frac{600}{40} = 15 days

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7 men or 10 women can build a wall of 100 metres in 10 days . How many days will 14 men and 20 women take to build a wall of 600 metres ?

20 days

15 days

30 days

25 days

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