SOLUTION: Girl drives or bikes from her house to the park.Her speed when driving is 36mph, and her speed when biking is 12mph. If it takes her 1/2 hr less to drive, how long does it take her

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Question 429691: Girl drives or bikes from her house to the park.Her speed when driving is 36mph, and her speed when biking is 12mph. If it takes her 1/2 hr less to drive, how long does it take her to get to the park and how long is the park from her home?
Answer by ankor@dixie-net.com(22740) (Show Source):
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Girl drives or bikes from her house to the park.
Her speed when driving is 36mph, and her speed when biking is 12mph.
If it takes her 1/2 hr less to drive, how long does it take her to get to the
park and how long is the park from her home?
:
Let d = distance to the park
:
Write a time equation, time = dist/speed
:
Bike time - drive time = .5 hr
- = .5
Multiply by 36, results:
3d - d = .5(36)
2d = 18
d =
d = 9 mi to the park
:
Find the times
= .75 hrs by bike
= .25 hrs by car
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diff: .5 hrs, confirms our solutions