Question

A soap factory produces 9600 soaps in 6 days working 15 hours a day. In how many days will it produce 14400 soaps working 3 hours more a day?

Answer 1

Let the required number of days be x.

To produce more soaps more days required.

∴ It is direct proportion.

∴ Multiplying factor = 14400/9600

If more hours spend, less days required.

∴ It is indirect proportion.

∴ Multiplying factor = 15/18

∴ x = 6 × 14400/9600 × 15/18

x = 15/2

15/2 days will be needed.