## Quant Question Of The Day: 269

**Time and Work**

**There was some food in the store which would have been sufficient for a certain number of men for 100 days. However, after 25 days 8 more men joined the group because of which the food lasted only for 35 more days. How many men were there in the group initially?**

**See our previous ‘Questions of the Day’:**

Quant Question Of The Day: 268

Quant Question Of The Day: 267

8 men

7

7

EMDH/W = constant

E.. efficiency

M…no of men or workers

D… days

H… hours per day

W… amount of work

Here answer is 7

7 Men

7men

quantity/no.of men =days

quantity=x, no.of men=y, x/y=100

for first 25 days y consumed so x/4 consumed therefore

3x/4 consumed by y+8 men in 35 days

solving them answer is 7men

let there are x men initial food = 100 x

after 25 days food left 100 x-25x = 75 x

75 x = 35 (x+8)

solving x= 7