Question

b. A fort had provisions for 450 soldiers for 40 days. After 10 days 90 more soldiers come to
the fort. Find for how many days will the remaining provisions last..​

Answer 1

Answer:

Step-by-step explanation:

Total period = 40 days

After 10 days this period will be = 40 - 10 = 30 days.

Number of soldiers in the beginning = 450

Number of soldiers arrive = 90

Total soldiers = 450 + 90 = 540

Number of soldiers                Number of days

   450                                             30

   540                                              x  

Number of soldiers increases than the food will last for lesser days. This an inverse proportion.

450 : 540 :: 30 : x

x = (450*30)/540 

x = 25 

So, the remaining provision will last for 25 days at the same rate.

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