A garrison of 140 men has provisions for 35 days. At the end of 10 days, 35 more men joined them. How many days can they sustain on the remaining provisions?
- A10
- B20
- C25
- D35
Solution & Step-by-step Explanation
Initially, 140 men have food for 35 days.
After 10 days, the remaining food would last the initial 140 men for:
Remaining Days=35−10=25 days
So, total remaining work/provisions = 140×25 man-days.
Now, 35 more men join, making the total number of men:
Total Men=140+35=175 men
Let D be the number of days the remaining food will last for 175 men:
175×D=140×25
D=
175
140×25
D=
7
140
=20 days
After 10 days, the remaining food would last the initial 140 men for:
Remaining Days=35−10=25 days
So, total remaining work/provisions = 140×25 man-days.
Now, 35 more men join, making the total number of men:
Total Men=140+35=175 men
Let D be the number of days the remaining food will last for 175 men:
175×D=140×25
D=
175
140×25
D=
7
140
=20 days