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28 votes
28 votes
One painter can paint a room in 2 hours; another painter requires 4 hours to paint

the same room. How long will it take them to paint the room together

User Matthew Farwell
by
2.8k points

1 Answer

21 votes
21 votes

Answer:


1(1)/(3) hours

Explanation:

The first painter does
(1)/(2) (aka
(2)/(4)) the job in 1 hour.

The second painter does
(1)/(4) the job in 1 hour.

This means together they can do
(3)/(4) the job in 1 hour.

This means to do
(1)/(4) of the job they will need
(1)/(3) hours. (third of the work they do in an hour means they need a third of the time)

This means they need
1(1)/(3) hours to paint the room together.

User Adanilev
by
2.7k points