In a relief camp of 550 men, food was enough for 28 days. If 150 more people joined the camp, the same amount of food will be enough for
- AOption (a)
25 days
- BOption (b)
10 days
- COption (c)
35 days
- DOption (d)
22 days
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Correct answer
22 days
Why this answer is correct
Given:
the number of men(M1) = 550
food last for days(D1) = 28 days
Concept:
total work before and after joining the men will be the same.
Formula used:
M1 × D1= M2 × D2
where M and D represent the number of men and days respectively.
Calculation:
Let the same amount of food be enough for D2 days
Now men(M2) = 550 + 150
⇒ M2 = 700
M1 × D1= M2 × D2
550 × 28 = 700 × D2
⇒ D2 = (550 × 28)/700
⇒ D2 = 15400/700
⇒ D2 = 22 days
Hence, the same amount of food will be enough for 22 days.