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 more hours a day? (5 marks)

Answer 1

Given that,
Factory working hours in 1 day
= 15 hours

Factory working hours in 6 days
= 6 $\times$ 15
= 90 hours

Soaps produced in 90 hours = 9600
Factory produces soap in 1 hour
= 9600 / 90
= 106.67

Now,
Total working hours in 1 day as per new requirement
= 15 + 3
= 18 hours
(2 marks)
106.67 soap produces by factory in 1 hour.

1 soap produces by factory in
= 1/106.67 hours

14400 soaps produced by factory in
= (1/106.67) $\times$ 14400 hours
(2 marks)

Number of days in which 14400 soaps will be produced when working hour per day is 18
= 14400/(106.67 $\times$ 18)

= 7.5 days
(1 mark)

Hence, the factory will produce 14400 soaps in 7.5 days working 3 hours more a day.