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Question
A fort had provision for 400 men for 60 days. After 35 days, 100 more men came. For how many days would the provisions last, assuming all men consumed food equally?
Options
28
30
35
20
MCQ
Solution
20
Explanation:
No. of men = 400
No of days = 60
∴ Total no. of man days = (400 × 60) = 24000 man days
Work done by 400 men in 1 day
∴ Man days for 35 days= 35 × 400 = 14000
∴ No. of man days left = (24000 – 14000)
= 10, 000 man days
After 100 men joined,
∴ No. of days the provision would last = `(10,000)/500` = 20 days.
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Time and Work (Entrance Exam)
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