Word Problem 4 & 5
Problem 4: A garrison of 1500 men has provision for 6 weeks. At the end of two weeks, 450 men leave. How long after this will the food last?
Solution:
In this math problem solving we have ,
Food Provision is sufficient for ;
Men left after two weeks;
Men left in the camp after four weeks;
;
So we are left with days;
Now data can be arranged in a way;
i-e if the number of men decreases, for more days will be the food sufficient! So, this is a problem of inverse proportion;
solve for ‘x’;
So, the provision will go for 40 days onward.
Problem 5: A fort is provisioned for 75 days. After 25 days a reinforcement of 500 men arrives and the food then lasts only for 40 days. How many men were there in the fort ?
a) 2000 b) 1000 c) 1500 d) none
Solution:
In this math problem solving we suppose in the beginning that there were ‘y’ men. So, after 25 days, after arrival of 500 men, there will be total men ‘y+500’, and days left will be 50 . We arrange this data systematically as below;
This is inverse proportion problem, i-e if number of men increases, then food will last for less number of days !
Solving for ‘y’;
So, there were 2000 men at the start.