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S can paint a house in 4hrs & J can paint the same house in 6hrs, how long will it take if painted together?

S can paint a house in 4hrs & J can paint the same house in 6hrs, how long will it take if painted together? Topic: S can paint a house in 4hrs & J can paint the same house in 6hrs, how long will it take if painted together?
July 19, 2019 / By Cheyenne
Question: I was taking a practice aptitude test to get myself prepared for the real one and didn't really get stuck on anything except this question. I know the answer (2hrs 24mins), but for some reason I still can't figure out how to solve a problem like this. Please, can anyone solve this properly and explain it to me as ridiculously dumbed down as tolerable? I would greatly appreciate the help... it's driving me nuts...I can usually hold my own when it comes to math problems but now my confidence is gone completely. I need help! Oh and I had to break the question down to get it to fit. Here it is in its entirety: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? AHH HA HA! Okay, nice! I get it now... THANKS!!! Math-magicianry... It always seems so simple after you find out how it's done!
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Best Answers: S can paint a house in 4hrs & J can paint the same house in 6hrs, how long will it take if painted together?

Aspen Aspen | 8 days ago
I used to have trouble with these as well... What I do is take the numbers and turn them in to rates. J paints 1 house in 6hrs, that means he paints 1house/6hrs or 1/6 houses/hr S paints 1 house in 4hrs, meaning that she paints 1house/4hrs or 1/4 houses/hr Now try using the rates to write an expression... For J, (1/6)(X) = 1house, X = 6hrs For S, (1/4)(X) = 1house, X = 4hrs Now you want to know how long it takes them to paint 1 house together. For J and S, (1/6)(X) + (1/4)(X) = 1house Simplify (10/24)(X) = 1house X = 24/10hrs or 2.4hrs or 2hrs and 24mins
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Aaren Aaren
Go the basics, the UNITS. If S paint in 4 hs, 1/4 of the house is made in one hour If J paint in 6 hs, 1/6 of the house is made in one hour So in ONE hour they do together 1/4 + 1/6 = 5/12 of the house Now apply a rule of three: 1 Hr --- 5/12 x Hr --- 1 Solution: 12/5 hs. to finish the house = 2.4 hours (0.4 hs = 24 min)
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What people fail to understand is that the people in Washington who have all the power, don't care what we want. It's only what they want, that matters. However, in this particular case, I agree with Mitch, because he knows exactly what the art of the deal is which is "No Compromise on the wall".
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