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A Garrison of 120 men has provision for 30 days. At the end of 5 days, five more men joined them. How many days can they sustain on the remaining provision ?
Given :
Garrison of 120 man has provision for 30 days.
5 more men joined after days.
To find :
We have to find the number of days the provision last ?
Solution :
Let the number of days the provision would last after the joining of 5 men (after 5 days) be 'y' days
Remaining provisions sustain for 25 days can be given as
Men | 120 | 125 |
Days | 25 | y |
The equation will be:-
$y\times125 = 120\times25$
$125y = 120\times25$
$y = \frac{120 \times 25}{125}$
$y = 24$
So, the remaining provisions for 125 men sustain 24 days.
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