SOLUTION: The distance between Village A and Village B is 5 miles. A person walks part of the way at 4 mph, then jogs the rest of the way at 9 mph. Find a formula that expresses the total am
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Question 334623: The distance between Village A and Village B is 5 miles. A person walks part of the way at 4 mph, then jogs the rest of the way at 9 mph. Find a formula that expresses the total amount of time for the trip, T, as a function of d, the distance walked.
T(d) = ?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the distance walked. Then 
represents the distance jogged. Let 
represent the amount of time spent walking and let 
represent the amount of time spent jogging.
In that we know the walking and jogging speeds and the general relationship 
between time, distance, and rate, we can describe the time for each segment of the trip thus:
and
The total time is the sum of these two times:
Substituting to get a function of :
\ =\ \frac{d}{4}\ +\ \frac{5\ -\ d}{9})
This needs to be simplified by finding the LCD and adding the two fractions. I'll leave that part in your capable hands.
John
My calculator said it, I believe it, that settles it
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