# Math Help - Help with word problem.

1. ## Help with word problem.

I can not figure this out... Can someone exlpain how to work out this problem. Im new to this forum...this is a great resource.

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

Thanks,

2. Originally Posted by eazy89
I can not figure this out... Can someone exlpain how to work out this problem. Im new to this forum...this is a great resource.

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

Thanks,
rate sally works ... (1 job)/(4 hrs)

rate john works ... (1 job)/(6 hrs)

rate together ... $\left(\frac{1}{4} + \frac{1}{6}\right)$

(rate together)(time in hrs) = 1 job done

$\left(\frac{1}{4} + \frac{1}{6}\right) \cdot t = 1$

solve for t

3. Thank You! I almost had it.