a garrison of 120 men has provision for 30 days at the of five days five more man joined them. how many days can they sustain on the remaining provision
Answers
Answer:
Number of men = 120
Time = 30 days
At the end of 5 days, 5 more men joined them.
For 120 men there is provision for 30 days
If 1 man needs 1 unit of provision in a day
Then, total provision = 120\times30120×30
Total provision =3600
120 men in 5 days will take = 120\times5120×5
120 men in 5 days will take = 600 unit of provision
Remaining provision = 3600-600
Remaining provision =3000 units
5 more men joined and now there are total 125 men
We need to calculate the days on the remaining provision
1 day provision requirement for 125 men = 125 units
Days for which they can sustain on remaining provision =\dfrac{3000}{125}
125
3000
Days for which they can sustain on remaining provision =24 days
Hence, They can sustain on remaining provision for 24 days.