A garrison of 600 men has just enough bread to allow 24 ounces a day to each man
Tor 30 days; but the garrison was
forced to reinforce to 4800 men. How many ounces of bread a day must each man in the
garrison be allowed to hold out 45 days?
1. 2
2. 4
3. 6
4. 8
Answers
Answered by
0
Assume that amount of food consumed by 1 man in 1 day
=
x
Given that the garrison had provisions for 500 persons for 27 days
=> Total quantity of food
=
500
×
27
×
x
=
13500
x
Amount of food consumed by 500 persons in 3 days
=
500
×
3
×
x
=
1500
x
Remaining food
=
13500
x
−
1500
x
=
12000
x
... (Equation 1)
After 3 days, total persons = 500 + 300 = 800
Food consumed by 800 persons 1 day
=
800
x
... (Equation 2)
From Equations 1 and 2,
Time taken for 800 persons to consume
12000
x
food
=
12000
x
800
x
=
120
8
=
15
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