11. A garrison of 900 men had provisions for 42 days. However, a reinforcement of 500 men arrived. For how many days will the food last now?
number 11
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SOLUTION -
LET THE REQUIRED NUMBER OF DAYS BE X.
MORE MEN = LESS DAYS ( INVERSE VARIATION)
TOTAL NUMBER OF MEN = 900 + 500 = 1400
So,
=> 1400 : 900 :: 42 : x
=> 1400 * x = 900 * 42
(Extreme * Extreme, Mean * Mean )
=> x = 900 * 42 / 1400
=> x = 37800/1400
=> x = 27 Days.
So, the food will last for 27 days, when a reinforcement of 500 men arrived.
HOPE IT HELPS!!!!
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