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.
:
Let s = Ed's speed
then
(s+5) = Jim's speed
:
Write a time equation; Time = dist/speed
:
{{{500/((s+5)) = 450/s}}}

Cross multiply
500s = 450(s+5)
:
500s = 450s + 2250
:
500s - 450s = 2250
:
50s = 2250
s = {{{2250/50}}}
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