SOLUTION: A motor cyclist makes a trip of 500 km. If he had increased his speed by 10 km/h, he could have covered 600 km in the same time. What was his original speed?

Question 207884: A motor cyclist makes a trip of 500 km. If he had increased his speed by 10 km/h, he could have covered 600 km in the same time. What was his original speed?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A motor cyclist makes a trip of 500 km.
If he had increased his speed by 10 km/h, he could have covered 600 km in the same time.
What was his original speed?
;
Let s = original speed
then
(s+10) = faster speed
:
Write a time equation: Time
:
Original time = faster speed time
=
Cross multiply
600s = 500(s+10)
:
600s = 500s + 5000
:
600s - 500s = 5000
s =
s = 50 km/hr original speed
:
:
Check solution by finding the times
500/50 = 10 hrs
600/60 = 10 hrs
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