GATE 2017 EC (EC2) – Question 8

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

1200 men and 500 women can build a bridge in two weeks. Nine hundred men and 250 women take three weeks for the same bridge. How many men alone are needed to build it in one week?

3000
3300
3600
3900

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Show answer and explanation

Correct answer: (C) 3600

Explanation

Let m and w be the weekly work rates of one man and one woman. Equal total work gives $2(1200m+500w)=3(900m+250w)$.

Rearranging gives $250w=300m$, so $w=1.2m$. The bridge therefore requires $2400m+1000(1.2m)=3600m$ units of work.

One man supplies m units per week, so the one-week workforce is **3600 men, C**.

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