SOLUTION: Cyclists A and B each average 30 km/h for the first hour of a 100 km race at the end of the hour , B has a a mishap and loses 12 min. Cyclist A finishes the remainder of the race a

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Question 650999: Cyclists A and B each average 30 km/h for the first hour of a 100 km race at the end of the hour , B has a a mishap and loses 12 min. Cyclist A finishes the remainder of the race at an average of 25 km/ h . if cyclist B averages 27.5 km/h after resuming, will B catch A before the finish line?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Cyclists A and B each average 30 km/h for the first hour of a 100 km race.
At the end of the hour, B has a a mishap and loses 12 min.
Cyclist A finishes the remainder of the race at an average of 25 km/h.
If cyclist B averages 27.5 km/h after resuming, will B catch A before the finish line?
:
From the given information, I understand that both cyclist have 70 km to go.
Change 12 min to 12/60 = .2 hrs
:
Find A's time to finish the race
70%2F25 = 2.8 hrs
Add .2 hr to B's time to finish the race
.2 + 70%2F27.5 = 2.745 hrs
Therefore
B will finish the race before A