Multiple choice

20 men are supposed to complete a work in 10 days. After working for 5 days, they realise that only one-fourth of the work is done. How many more men do they need to employ to finish the work on time?

  1. 40

  2. 30

  3. 20

  4. 15
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Work done in 5 days by 20 men = 1/4. Remaining work = 3/4. Men required for 3/4 work in 5 days: (20 men * 5 days) / (1/4 work) = (M * 5 days) / (3/4 work). 20 * 5 * 4 = M * 5 * (4/3) -> M = 60. Additional men needed = 60 - 20 = 40.

AI explanation

From the given work, 20 men completed one-fourth of the job in 5 days. Using the proportionality formula, the total work requires 20 men * 5 days * 4 = 400 man-days. Since 5 days are gone, the remaining 300 man-days of work must be finished in the remaining 5 days, requiring 300 / 5 = 60 men. Therefore, the initial 20 men need 60 - 20 = 40 more men to finish on time.

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