22.1k views
2 votes
Cleo can paint a room in 8 hours, while Phil can paint the same room in 6 hours. If they paint theroom together, how long will it take them to paint the room?How many hours and how many minutes?

1 Answer

5 votes

According to the given data we have the following:

Cleo can paint a room in 8 hours, so this is=1/8x

Phil can paint the same room in 6 hours=1/6x

In order to calculate how long it take them to paint the room we would solve the following equation:

(1/6)(x)+(1/8)(x)=1

To solve this equation we would first multiply both sides by 24

Hence:

24*(1/6)(x)+24*(1/8)(x)=24

4x+3x=24

7x=24

x=24/7

x= 3 3/7 hours

Therefore It will take them 3 and 3/7 hours to pain the room.

In minutes it will take to them 205 minutes.

User Ferroao
by
5.1k points