SOLUTION: Jim drove his truck 500 kilometers in the same time that Ed drove his truck 450 kilometers. Jim drove 5 kilometers an hour faster than Ed. Find the speed of each man.

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Question 298727: Jim drove his truck 500 kilometers in the same time that Ed drove his truck 450 kilometers. Jim drove 5 kilometers an hour faster than Ed. Find the speed of each man.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jim drove his truck 500 kilometers in the same time that Ed drove his truck 450 kilometers.
Jim drove 5 kilometers an hour faster than Ed. Find the speed of each man.
:
Let s = Ed's speed
then
(s+5) = Jim's speed
:
Write a time equation; Time = dist/speed
:
500%2F%28%28s%2B5%29%29+=+450%2Fs
Cross multiply
500s = 450(s+5)
:
500s = 450s + 2250
:
500s - 450s = 2250
:
50s = 2250
s = 2250%2F50
s = 45 mph is Ed's speed
and
45 + 5 = 50 mph is Jim's speed
:
;
Check solutions by finding the times
500/50 = 10 hrs
450/45 = 10 hrs