A certain quantity of wheat is sufficient for 200 people for 30 days. If 50 more people join them, for how many days will the same quantity of wheat last?
24 days
Number of people and number of days vary inversely when the food stock is fixed: \(M_1 D_1 = M_2 D_2\).
Substitution: \(200 \times 30 = 250 \times D_2\).
Working: \(D_2 = \frac{6000}{250} = 24\) days.
Check: 250 × 24 = 6000 = 200 × 30 person-days, so the stock is used exactly.
Hence, 24 days.
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