Question 715940: Mark and sandy are participating in a bike a thon for charity. Mark over sleeps, so sandy gets a one hour head start and bikes at a speed of 12 miles per hour. To catch up to sandy, mark decides that he needs to bike at a speed of 15 miles per hour. Write and solve an equation to determine when mark will catch up to sandy.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Mark and sandy are participating in a bike a thon for charity.
Mark over sleeps, so sandy gets a one hour head start and bikes at a speed of 12 miles per hour.
To catch up to sandy, mark decides that he needs to bike at a speed of 15 miles per hour.
Write and solve an equation to determine when mark will catch up to sandy.
:
Let t = time required by Mark to catch Sandy
then
(t+1) = Sandy's travel time
;
When M catches S, they will have traveled the same distance
Write a distance equation; dist = speed * time
:
15t = 12(t+1)
15t = 12t + 12
15t - 12t = 12
3t = 12
t = 12/3
t = 4 hrs for M to catch S
:
:
Confirm this by finding the actual dist each traveled, should be the same.
15(4) = 60 mi
12(4+1) = 60 mi
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