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Two men A and B, each working alone by working 12 hours per day, can complete a work in 20 days. For execution of the work, it was decided that A and B would be working for -

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Question

Two men A and B, each working alone by working 12 hours per day, can complete a work in 20 days. For execution of the work, it was decided that A and B would be working for 8 and 6 hours per day, respectively, on alternate days starting with A. If it takes x days and y hours to complete the work then (x, y) is:

Options

  • (34, 4)

  • (33, 4)

  • (33, 2)

  • (34, 2)

MCQ

Solution

(34, 2)

Explanation:

A complete work in 20 days

A works 12 hours per day.

∴ Total work = 20 × 12 = 240

Now, A works for 8 hours a day.

B work for 6 hours a day.

So, work done in 2 days = 8 + 6 = 14

∴ No. of days = `240/14 = 17 2/14` = 17 × 2 = 34 days

And `1/7` work remain

So, `1/7 xx 14` = 2 hours

∴ x = 34 and y = 2

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Time and Work (Entrance Exam)
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