SOLUTION: You wake up late and drive to work averaging 60 mph to make it on time. You drive home along the same route averaging 40 mph. a) Explain why d=rt b) Explain why your average

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: You wake up late and drive to work averaging 60 mph to make it on time. You drive home along the same route averaging 40 mph. a) Explain why d=rt b) Explain why your average      Log On

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Question 879480: You wake up late and drive to work averaging 60 mph to make it on time. You drive home along the same route averaging 40 mph.
a) Explain why d=rt
b) Explain why your average speed for the entire round trip is NOT 50mph
c) If it took you 24minutes to get to work, how far is the commute?
d) How long did it take you to drive home?
e) Find the correct average speed for the entire trip.
f) Find a general formula for claculating the average speed if you average r1 mph for t1 hours and then average r2 mph for t2hours. Give an appropriate definition for average speed.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a) d = rt = %28mph%29%28hrs%29+=+mi
b) average Total Distance/Total time = %28r%5B1%5Dt%5B1%5D+%2B+r%5B2%5Dt%5B2%5D%29%2F%28t%5B1%5D+%2B+t%5B2%5D%29
c) %2860mph%29%2824%2F60%29 = 24mi
d) 24mi%2F%2840mph%29 = .6hr
e) 48mi%2F%28.4+%2B+.6%29 = 48mph average
f) average Speed = %28r%5B1%5Dt%5B1%5D+%2B+r%5B2%5Dt%5B2%5D%29%2F%28t%5B1%5D+%2B+t%5B2%5D%29