SOLUTION: The distance between village A and village B is 6 miles. A person walks part of the way at 5 miles per hour, then jogs the rest of the way at 9 mph. Find a formula that expresses t
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Question 334671: The distance between village A and village B is 6 miles. A person walks part of the way at 5 miles per hour, 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.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
First I'll write 2 equations: 1 for walking and 1
for jogging:
Walking:
(1)
If the distance from A to B is mi, then
the distance jogged is mi
Jogging:
(2)
-------------------
given:
mi/hr
mi/hr
hrs
-------------------
I'll rewrite (1) and (2)
(1)
(2)
Add the equations
By substitution:
By substitution into (1):
hrs answer
check answer:
Suppose mi
(1)
(2)
From answer:
OK
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