SOLUTION: You drive on Interstate 10 from Lafayette to Houston, half the time at 56 km/h and the other half at 70 km/h. On the way back you travel half the distance at 56 km/h and the other
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Question 560495: You drive on Interstate 10 from Lafayette to Houston, half the time at 56 km/h and the other half at 70 km/h. On the way back you travel half the distance at 56 km/h and the other half at 70 km/h.
(a) What is your average speed from Lafayette to Houston?
km/h
(b) What is your average speed from Houston back to Lafayette?
km/h
(c) What is your average speed for the entire trip?
km/h
(d) What is your average velocity for the entire trip?
km/h
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
a. Let 
represent time for the entire trip. Then 
represents the amount of time at 56 km/h. And also represents the amount of time at 70 km/h. Distance equals rate times time, so the distance traveled at 56 km/h is 
. The distance traveled at 70 km/h is 
. The sum of these distances is the total distance, 
, from Lafayette to Houston, so
Since distance equals rate times time, rate equals distance divided by time. Hence the average speed from L to H is 63 km/h.
Write back and I'll give you a quote to do the rest of this.
John
My calculator said it, I believe it, that settles it
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