## 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

1. EMDH/W = constant

E.. efficiency
M…no of men or workers
D… days
H… hours per day
W… amount of work

2. 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

3. Anubhav Swaroop

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

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