Speed Row

August 27th, 2004

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help with math homework!!!?

what are the systems of equations you would use to solve these problems??

1. a man rows 18 miles downstream in 2 hours. He finds that it takes 6 hours to row back. Find the rate of rowing in stil water and the rate of the stream

2. Traveling against the wind, a plane flies 2100 miles from chicago to San Diego in 4 hours and 40 minutes. The return trip, traveling with a wind that is twice as fast, takes 4 hours. Find the rate of the plane in still air.

ive worked on these for forever but the answer never comes out right.

distance / time = speed

1)

18m/2h = 9mph downstream
18m/6h = 3mph upstream

(9+3)/2 = 6mph average speed (rowing speed), so the stream was flowing at 3mph

2)

2100m / (4 2/3 hrs) = 450 mph
2100m / 4 hrs = 525 mph

525-450 = 75
since the trip out was against, and the trip back was with, but twice as strong, 75 represents 3x the windspeed, or 25 mph wind. Therefore, the airspeed (still) of the plane is 475 mph

(450 + 25 or 525 - 50)

Hope this helps!

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