1. ## Math Word problems.

Alright I'm really having trouble on my last two math questions. I just not very good at word problems and I tried answering both questions but they were wrong.

1) Matt traveled the first leg of his trip for 1350 miles on a large jet. He then traveled an additional 600 miles on a private plane to reach his destination. If the speed of the jet was three times the speed of the plane and the total time in the air was 6 hours determine the speed of each aircraft.

2) Matt and Sara mow lawns together. When Matt mows the lawn for Mr. Smith it takes 100 minutes. When matt and Sara work together to mow the lawn for Smith they get the job done in 40 minutes. How long will it take Sara to mow Smith's lawn by herself?

2. ## Re: Math Word problems.

1) v = speed of plane , 3v = speed of jet

t = time traveled in the plane

6-t = time traveled in the jet

vt = 600

3v(6-t) = 1350

solve the system of equations for v

(2) matt's rate of mowing = $\displaystyle \frac{1 \, lawn}{100 \, min}$

sara's rate of mowing = $\displaystyle \frac{1 \, lawn}{t \, min}$

(rate together)(time together) = 1 lawn mowed

$\displaystyle \left(\frac{1}{100} + \frac{1}{t}\right) \cdot 40 = 1$