SOLUTION: Sarah takes 40 minutes to walk to her office and only 12 min if she rides her bike. Her speed when walking is 7 miles per hour less than her speed when riding her bike. (assume she

Question 564822: Sarah takes 40 minutes to walk to her office and only 12 min if she rides her bike. Her speed when walking is 7 miles per hour less than her speed when riding her bike. (assume she takes the same path to her office). What is the distance to her office.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Sarah takes 40 minutes to walk to her office and only 12 min if she rides her bike.
Her speed when walking is 7 miles per hour less than her speed when riding her bike. (assume she takes the same path to her office).
What is the distance to her office.
:
Let s = his walking speed
then
(s+7) = his biking speed
:
Write a distance equation; dist = speed * time
We need the time in hrs
:
s = (s+7)
Reduce the fractions
s = (s+7)
Multiply by 15 to clear the denominators
5(2s) = 3(s+7)
10s = 3s + 21
10s - 3s = 21
7s = 21
s = 21/7
s = 3 mph is his walking speed
:
Find the distance
(3) = 2 miles
Check the distance
(3+7) = 2 miles also
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