SOLUTION: Starting at home, Christopher traveled uphill to the hardware store for 50 minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12 mph. W

Question 946840: Starting at home, Christopher traveled uphill to the hardware store for 50 minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12 mph.
What is his average speed for the entire trip from home to the hardware store and back?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Starting at home, Christopher traveled uphill to the hardware store for 50 minutes at just 6 mph.
He then traveled back home along the same path downhill at a speed of 12 mph.
What is his average speed for the entire trip from home to the hardware store and back?
:
let a = his average speed of the trip
let d = the one-way distance
:
Write a time equation; time = dist/speed
Uphill time + downhill time = total time
+ =
Multiply equation by 12a
12a* + 12* = 12a*
Cancel the denominators
2ad + ad = 24d
3ad = 24d
divide both sides by d
3a = 24
a = 24/3
a = 8 mph is the av speed of the round trip

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