Question

‘n’ men working 20 hours a day can complete a work in 8 days while (6n – 4) men working 10 hours a day can complete the same work in 8 days. In how many days can (n + 4) men working 16 hours a day complete the same work?

A 3 days Correct Answer Incorrect Answer
B 7 days Correct Answer Incorrect Answer
C 2 days Correct Answer Incorrect Answer
D 6 days Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

According to the question,
(n × 20 × 8) = {(6n – 4) × 10 × 8}
=> 2n = 6n – 4
=> n = 1
Let the number of days taken by (n + 4) = 5 men be ‘x’ days
Therefore,
(1 × 20 × 8) = (5 × 16 × x)
Therefore, x = 2 days

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