10 men can do a work in 15 days working 4 hours a day. If after 5 days, 4 men…

2021

10 men can do a work in 15 days working 4 hours a day. If after 5 days, 4 men leave the work, then remaining work can be done in how many days?

  1. A.

    50/3

  2. B.

    20

  3. C.

    53/3

  4. D.

    18

Attempted by 16 students.

Show answer & explanation

Correct answer: A

Total work: 10 men * 15 days * 4 hours/day = 600 man-hours.

Work done in 5 days: 10 men * 5 days * 4 hours/day = 200 man-hours.

Remaining work: 600 - 200 = 400 man-hours.

Remaining men: 10 - 4 = 6 men.

Calculate remaining days (D): 6 men * D * 4 hours/day = 400 man-hours.

24 * D = 400

D = 400 / 24 = 50 / 3 days.

Final Answer: Option 1 (50/3)

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