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She rode the bicycle from her house to Bob's house at 7 miles per hour.
She jogged back home from Bob's house to her house at a pace of 5 miles per hour.
It took Alice 36 minutes (i.e., 3/5 hour) total travel time to make her round trip.
36 min =.6 hr
(a) How long (in minutes) did each leg of Aliceís trip take?
That is, how long did it take Alice to travel to Bobís house?
How long did it take Alice to travel home from Bobís house?
Let t = time (in hrs) to travel to Bob's house
(.6-t) = time to travel from his house
Dist both ways is the same; write a dist equation: dist = speed * time
To dist = From dist
7t = 5(.6-t)
7t = 3 - 5t
7t + 5t = 3
12t = 3
t = .25 hrs; that is .25(60) = 15 min to
.6-.25 = .35; that is .35(60) = 21 min from
(b) What is the distance between Alice's and Bob's houses?
.25(7) = 1.75 mi
check it using the return time and speed
.35(5) = 1.75 mi