A fort had provision for 400 men for 60 days After 35 days 100 more men came For how many days would...........

Quantitative Aptitude (MTS) Time and work

A fort had provision for 400 men for 60 days. After 35 days, 100 more men came. For how many days would the provisions last,

assuming all men consumed food equally?

This questions was previously asked in

SSC MTS 8th October 2021 Shift-1

- Initially, the fort had provisions for 400 men for 60 days.

- Total initial provisions = 400 men × 60 days = 24,000 man-days.

- After 35 days, the provisions used = 400 men × 35 days = 14,000 man-days.

- Provisions left = 24,000 man-days - 14,000 man-days = 10,000 man-days.

- After 35 days, 100 more men join, making it 500 men in total.

- Days the remaining provisions last = 10,000 man-days / 500 men = 20 days.

- Therefore, the provisions last an additional 20 days after the extra men arrive.

Option 3: 20

Submit Error