SOLUTION: Shayna left the airport and drove toward the capital at an average speed of 52 km/h. Some time later Mei left driving in the same direction but at an average speed of 65 km/h. Afte

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Shayna left the airport and drove toward the capital at an average speed of 52 km/h. Some time later Mei left driving in the same direction but at an average speed of 65 km/h. Afte      Log On

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Question 525048: Shayna left the airport and drove toward the capital at an average speed of 52 km/h. Some time later Mei left driving in the same direction but at an average speed of 65 km/h. After driving for four hours Mei caught up with Shayna. Find the number of hours Shayna drove before Mei caught up
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Shayna left the airport and drove toward the capital at an average speed of 52 km/h.
Some time later Mei left driving in the same direction but at an average speed of 65 km/h.
After driving for four hours Mei caught up with Shayna.
Find the number of hours Shayna drove before Mei caught up
:
Let t = S's travel time when M caught up
:
Find the distance driven by M:
4 * 65 = 260 mi
This is also the distance driven by S, when she is caught
:
52t = 260
t = 260/52
t = 5 hrs, S's travel time when caught by M