Question

1) Henry can clean the pool three times as fast as John. Together, they can clean the pool in 2 hours. Which equation can be used to find the number of hours, t, it takes Henry to clean the pool alone?

Option A: 1/t+1/2t=3
Option B: 1/t+1/3t=2
Option C: 3/t+3/2t=1
Option D: 2/t+2/3t=1

Any help would be greatly appreciated! c:

Answer 1

Henry-- 2xs as fast as John
John-- x
Henry-- 2x

x + 2x = 2

j + h =2 hours

2 hours...

I'm thinking A, but I am NOT completely sure.... :/

Answer 2

Let 't' be the time it takes henry to clean the pool
Therefore it will take john '2t'

The equation is \[\frac{ 1 }{ t }+\frac{ 1 }{ 3t } = \frac{ 1 }{ 2 }\]

If you multiply both sides by 2 you should get: \[\frac{ 2 }{ t }+\frac{ 2 }{ 3t }=1\]

So that would correspond to answer d.

Answer 3

correction: '2t' should be '3t'

Answer 4

Are you there?

Answer 5

Yes. Muchas gracias! :)

Answer 6

Sure no problem!