Question

1200 men can finish a stock of food in 35 days . how many more men should join them so that the same stock may last for 25 days. solve it

Answer 1

solution
given
                     no  of men                 no of days
                        1200                            35
       ( suppose)      x                                25
              since it is in direct proportion,
now
         x/1200=35/25
      or 1200*35=25 x
    or (1200*35)/25=x
      or 1680=x
therefore 1680 men can finish the food in 25 days
again
      added men=1680-1200
                          480
therefore 480 men should be added.

Answer 2

Answer:

Let x be the number of addition men required to finish the stock in 25 days.

Since the number of men and the time taken to finish a stock are in inverse variation, we have: 1200×35=25x

=> x = 1200×3525=1680

∴ Required number of men = 1680 – 1200 = 480.

Thus, an additional 480 men should join the existing 1200 men finish the stock in 25 days.

Step-by-step explanation: