- In a camp 95 men had provisions for 200 days.
- After 5 days 30 men left the camp.
- Total days the remaining food would last can be figure out in this way.
Explanation
Two given entities here are
- Men
- Days
To determine the relation here, let suppose; total days the remaining food would last = y
Case
95 men had provisions for 195 days.
After 5 days 30 men left the camp so remaining men = 95 – 30 = 65 men
Men Days
95 195
65 y
- More men mean less days.
- Less men mean more days.
This clearly indicates that there is inverse relation.
Direct/Indirect relation tells how the equation will be written.
95 : 65 :: y : 195 ________ (i)
65 x y = 195 x 95 ________ (A)
After simplifying equation (A), we can easily figure out the value of y (y = 285 days)
To Find
Total days the remaining food would last = ?
Solution
Method I
Let suppose
Total days the remaining food would last = y
Men Days
95 195
65 y
- Relation between men and days is inverse.
So
95 : 65 :: y : 195
65 x y = 195 x 95
65y = 18525
y = 18525/65
y = 285 days
Total days the remaining food would last = 285 days
Method II
Total provisions = 95 x 200
Total provisions = 19000
5 days provisions = 95 x 5
5 days provisions = 475
Remaining provisions = 19000 – 475
Remaining provisions = 18525
After 5 days 30 men left the camp
Remaining men = 95 – 30
Remaining men = 65 men
Total days the food would last = 18525/65
Total days the food would last = 285 days
Conclusion
In a camp 95 men had provisions for 200 days. After 5 days 30 men left the camp. For 285 days the remaining food would last.
