SOLUTION: Hi 2 men were in a race. The first completed the race in 5 hours. The second only completed 60 percent of the race in that time. If the the firsts average speed was 5km per hour f

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Question 1121790: Hi
2 men were in a race. The first completed the race in 5 hours. The second only completed 60 percent of the race in that time. If the the firsts average speed was 5km per hour faster than the second.
What was the length of the race
the average speed of the second man.
thanks
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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From the condition, it should be clear to you that the speed of the second man was 60% of the speed of the first man.


In other words,


V%5B2%5D = 0.6%2AV%5B1%5D.


Then the difference  V%5B1%5D - V%5B2%5D = 0.4%2AV%5B1%5D, 

and from the condition you have this simple equation


0.4%2AV%5B1%5D = 5  kilometers per hour.


From this equation,  V%5B1%5D = 5%2F0.4 = 12.5 kilometers per hour.


Then the total distance is  12.5*5 = 62.5 kilometers.


The speed of the second man was  12.5 - 5 = 7.5 kilometers per hour.

Solved.