GATE EC 2017 Set 2 — Question 63
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General Aptitude → Quantitative Aptitude → Time & Work
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Question
1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?
Correct answer
(C) 3600
Solution
Let be the work rate of one man and be the work rate of one woman per week. Let be the total work required to build the bridge.From the first condition:
--- (Equation 1)From the second condition:
--- (Equation 2)Equating Equation 1 and Equation 2:
Substitute into Equation 1 to find in terms of :
Let be the number of men required to build the bridge in 1 week:
Therefore, 3600 men are needed to build the bridge in one week. The correct option is (C).
--- (Equation 1)From the second condition:
--- (Equation 2)Equating Equation 1 and Equation 2:
Substitute into Equation 1 to find in terms of :
Let be the number of men required to build the bridge in 1 week:
Therefore, 3600 men are needed to build the bridge in one week. The correct option is (C).
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