Question

A garrison of 1500 men has previsions for 48 days. how long would they last if after 13 days it is reinforced by 660 men?

Answer 1

Answer:

24.30 days

Step-by-step explanation:

Let one person consume x kgs in a day

No. of Men = 1500

Total available provision for 48 days = 48 x 1500x

Thus the provision consumed in 13 days = 13 x 1500x

Remaining Provision = Total Provision – consumed provision

= 72000x – 19500x

=52500x

Now 660 men were added , Hence total strength will be 1500+660 = 2160

Provision consumed in one day = 2160x

Provision left = 52500x

Hence number of days for which provision can run

$= \frac{52500x}{2160x}$

=24.30 days

Hence the provison will end for 24.30 more days