Question

It takes 2/3 of an hour to paint 2/5 of a room, how long does it take to paint one room

Answer 1

5/3 hours

Explanation:

2/3 hour = 40 minutes

You can solve it by proportion:

40 minutes = 2/5 room

x minutes = 1 room

`x=(40)/((2)/(5) )`

100 minutes = 5/3 hours

Answer 2

Answer: 1 hour 40 minute

Explanation:

If it take 2/3 of an hour to paint 2/5 of a room

1Hour = 60min

2/3 of 60min

2/3 × 60min

=120min / 3

= 40min

That is it take 40min to paint 2/5 of a room

So using proportion

2/5 room = 40min

1room = X min

We cross multiply

2/5 × X = 40min

2X / 5 = 40min

We cross multiply again

2X = 200min

Divide bothside by 2

x = 100 min

But 1hour =60min

Therefore 100min = 1 hour 40min.