| In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food? |
A) 25 days
B) 20 days
C) 15 days
D) 10 days
E) None of these
Correct Answer: D
Solution :
| Let us assume that each soldier eats one unit of food per day. Thus, total units of food at the beginning will be \[1000\times 30=30000.\] |
| After 10 days 1000 soldiers would have eaten |
| \[1000\times 10=10000\] units of food. |
| Thus, food left after 10 days equals 20000 units. Now, there are total of 2000 soldiers who eat one unit of food every day. So, the number of days that 20000 units of food will serve 2000 soldiers is \[\frac{20000}{2000}=10\] days |
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