Question

Tim can paint a room in 6 hours. Bella can paint the same room in 4 hours. How long will it take if Tim and Bella work together?

Answer 1

Explanation:

`\sf \text{Work done by Tim in 1 hour = $(1)/(6)$}\\\\\text{Work done by Bella in 1 hour = $(1)/(4)$}`

`\sf \text{Work done by both Tim and Bella in 1 hour =$(1)/(6)+(1)/(4)$}`

`=(1*4)/(6*4)+(1*6)/(4*6)\\\\=(4)/(24)+(6)/(24)\\\\=(10)/(24)\\\\= (5)/(12)`

`\bf Time \ taken = (12)/(5)`

= 2.4 hours

`= 2 \ hours \ 24 minutes`

`\sf \text{Work done by both Tim and Bella in 1 hour = (1)/(6)+(1)/(4)}`