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 more hours a day?
Given that,
Factory working hours in 1 day
= 15 hours
Factory working hours in 6 days
= 6 × 15
= 90 hours
Soaps produced in 90 hours = 9600
Factory produces soap in 1 hour
= 9600 / 90
= 106.67
14400 soaps produced by factory in
= (1/106.67) × 14400 hours
Number of days in which 14400 soaps will be produced when working hour per day is 18
= 14400/(106.67 × 18)
= 7.5 days
Hence, the factory will produce 14400 soaps in 7.5 days working 3 hours more a day.