A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the 1 day wages for the boy?

A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the 1 day wages for the boy?

1). Rs. 76
2). Rs. 56
3). Rs. 44
4). Rs. 40

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Guest · Answer 1 · 2019-05-23 17:54:14

Let the boy take ‘x’ days to finish the work alone.

⇒ boy will complete 1/x amount of work in 1 day.

Given man’s efficiency is three times that of boy → man’s 1 day’s work = 3 × (boy’s 1 day’s work)

⇒ Man’s 1 day’s work = 3 × (1/x) = 3/x

Now, Both complete the work together in 5 days → they complete 1/5^th of work in 1 day.

⇒ (1/x) + (3/x) = 1/5

⇒ 4/x = 1/5 ⇒ x = 20.

∴ boy does 1/20 of work in a day and man does 3/20 of work in a day.

⇒ Boy’s wage per day = (1/20) × 800 = Rs 40

A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man’s efficiency in the work was three times that of the boy. What are the 1 day wages for the boy?

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