A paint manufacturing company has a machine which fills 24 tins with paint in 5 minutes.

Question

(I) How many tins will the machine fill in?
(a) 1 minutes, correct to the nearest whole number?
(b) 1 hour?

(ii) How many hours will it take to fill 1440 tins?

Answer 1

(I)

(a) In one minute, the machine fills:
24 tins/5 minutes = 4.8 tins/minute

Rounding to the nearest whole number, the machine will fill approximately 5 tins in one minute.

(b) In one hour, there are 60 minutes.

The machine fills 24 tins in 5 minutes, so it will fill:

24 tins/5 minutes x 60 minutes/hour = 288 tins/hour

Therefore, the machine will fill 288 tins in one hour.

(ii) Let's use a proportion to solve for the time it takes to fill 1440 tins:

24 tins/5 minutes = 288 tins/x minutes

Cross-multiplying, we get:

24x = 5 x 288

Simplifying:

24x = 1440

x = 1440/24

x = 60

Therefore, it will take 60 minutes (or 1 hour) to fill 1440 tins.