A Garrison of 500 men had provision for 24 days .However ,a reinforcement of 300 men arrived.The food will now last for
Answers
AnswEr :-
Men already in Garrison = 500
Extra men = 300
→Total men now ( 500 + 300 ) = 800 men
→500 men provision 24 days
⇒1 men provision 24 x 500 days
⇒800 men provision = 24 x 500 / 800
= 15 days
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Answer:
The Food will last now for 15 days
Step - by - step explanation:
★ Given :
- Garrison of 500 men had provision for 24 days
★ Concept used :
- Total food always remain constant
★ Formula used :
Total Amount of food = Men × days × Amount of food consumed by 1 man in 1 days
★ Solution :
New strength = ( 500 + 300 ) men = 800 men
for 500 men there were provision for 24 days
For 1 man there were provision for ( 500 × 24 ) days
{ less men , more days }
For 800 men , there were provision for ( 500 × 24 / 800 ) days i.e 15 days .
HENCE, THE FOOD WILL LAST NOW FOR 15 DAYS
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★ Additional information :
Formula used
( M¹ × D¹ ) = ( M² × D² )
Where,
M¹ = initial number of men
D¹ initial number of days
M² = Final Number of men
D² = final numbers of days
- Find the total amount of meal by the product of men initially and the number of days provision lasts, in the same way find the amount of meal utilized before new men arrive, and their difference will give the remaining meal
- The number of days this remaining meal will last is given by its division with the total men