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In a garrison, there was food for 2000 soldiers for one month. After 10 days, 1000 soldiers left the garrison. After 10 more days, 2000 soldiers joined the garrison. How long (total number of days) did the soldiers be able to live with the food supplies?

In a garrison, there was food for 2000 soldiers for one month. After 10 days, 1000 soldiers left the garrison. After 10 more days, 2000 soldiers joined the garrison. How long (total number of days) did the soldiers be able to live with the food supplies? Correct Answer 30

2000 soldiers can last for 30 days

1 soldier can last for = 2000 × 30 days

After 10 days; food left = 60000 - 10 × 2000 = 40000 units

Total number of men = 2000 - 1000 = 1000

After 10 more days; food left = 40000 - 10 × 1000 = 30000 units

Total number of men = 1000 + 2000 = 3000

Number of days for which the remaining food will last = (30000/3000) = 10

Total number of days food lasted = 10 + 10 + 10 = 30

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