Advertisements
Advertisements
Question
In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the food last at the same rate?
Solution 1
After 10 days:
For 150 men, provision will last (45 − 10)
days = 35 days
⇒ For 1 man, the provisions will last
= 150 × 35 days
And for (150 − 25) = 125 men, the provisions
will last for =`(150xx35)/125`
= 42 days
Solution 2
Given:
- 150 men have food for 45 days.
- After 10 days, 25 men leave the fort.
- We need to find how long the remaining food will last for 125 men.
The total amount of food is:
Total food = 150⋅45 = 6750 man-days.
Food consumed by 150 men in 10 days is
Food consumed = 150⋅10 = 1500 man-days.
The remaining food after 10 days is
Remaining food = 6750 − 1500 = 5250 man-days.
After 25 men leave, the remaining men are:
Remaining men = 150 − 25 = 125.
The number of days the remaining food will last for 125 men is:
Remaining days = `"Remaining food"/"Remaining men"=5250/125`
= 42 days
APPEARS IN
RELATED QUESTIONS
12 pipes, all of the same size, fill a tank in 42 minutes. How long will it take to fill the same tank, if 21 pipes of the same size are used?
A car takes 6 hours to reach a destination by travelling at a speed of 50 km per hour. How long will it take when the car travels at a speed of 75 km per hour?
A fort had provisions for 450 soldiers for 40 days. After 10 days, 90 more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?
Twelve typists, all working with the same speed, type a certain number of pages in 18 days working 8 hours a day. Find, how many hours per day must sixteen typists work in order to type the same number of pages in 9 days?
A can do a work in 15 days and B in 20 days. If they together work on it for 4 days; what fraction of the work will be left?
A, B, and C can do a piece of work in 6 days, 12 days, and 24 days respectively. In what time will they altogether do it?
A can do a piece of work in 24 days, A and B can do it in 16 days and A, B, and C in `10 2/3` days. In how many days can A and C do it working together?
A can do a piece of work in 20 days and B in 15 days. They worked together on it for 6 days and then A left. How long will B take to finish the remaining work?
A can do a piece of work in 10 days, B in 12 days, and C in 15 days. All begin together but A leaves the work after 2 days and B leaves 3 days before the work is finished. How long did the work last?
X alone can do a piece of work in 6 days and Y alone in 8 days. X and Y undertook the work for ₹ 48000. With the help of Z, they completed the work in 3 days. How much is Z’s share?
