Question

If 270kg of corn would feed 42 horses for 21 days for how many days would 360kg of it feed 21 horses?

Answer 1

No: of horses is directly proportional to corn(work) and inversely proportional to days.
Hence,
42 * 21/270 = 21 * D/360
D = 42*21*360/21*270 = 56 days.
Hence it will last for 56 days.
Hope it helps.

Answer 2

56 days are required to feed 360 kg corn to 21 horses.

270 kg of corn would feed 42 horses for 21 days.

We have to find the number of days taken to feed 360 kg corn to 21 horses.

We should very basic formula of time and work.

You know as well, N₁D₁/W₁ = N₂D₂/W₂

where N , D and W are number of horses, number of days and number of pieces of work respectively.

here, N₁ = 42 , D₁ = 21 days and W₁ = 270 kg

also, N₂ = 21 , W₂ = 360 kg

∴ (42 × 21)/270 = (21 × D₂)/360

⇒D₂ = (42 × 21 × 360)/(270 × 21)

= 56

Therefore number of days taken to feed 360 kg corn to 21 horses is 56 days.