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Question : A work can be completed by 20 men in 50 days. 30 more men join them after 10 days of work. How many days will be saved in the completion of the work?

Option 1: 18 days

Option 2: 20 days

Option 3: 24 days

Option 4: 28 days


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 24 days


Solution : 20 men can finish a work = 50 days
Let the number of days taken after the increment of 30 people be $x$.
According to the question,
Total work = Efficiency × Time = 50 × 20
M1 × D1 = M2 × D2
⇒ 20 × 50 = 20 × 10 + 50 × $x$
⇒ 50 × $x$ = 800
⇒ $x$ = 16
Total time taken = 10 + 16 = 26 days
$\therefore$ Number of days saved = 50 – 26 = 24 days
Hence, the correct answer is 24 days.

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