SOLUTION: Carlos can travel 40 mi on his motorbike in the same time it takes Paul to travel 15 mi on his bicycle. If Paul rides his bike 20 mi/h slower than Carlos rides his motorbike, find

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Question 176867This question is from textbook
: Carlos can travel 40 mi on his motorbike in the same time it takes Paul to travel 15 mi on his bicycle. If Paul rides his bike 20 mi/h slower than Carlos rides his motorbike, find the speed for each bike. This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Carlos can travel 40 mi on his motorbike in the same time it takes Paul to
travel 15 mi on his bicycle. If Paul rides his bike 20 mi/h slower than
Carlos rides his motorbike, find the speed for each bike.
;
let s = motorbike speed
then
(s-20) = bike speed
;
write a time equation; time = dist%2Fspeed
C's travel time = P's travel time
40%2Fs = 15%2F%28s-20%29
cross multiply
40(s-20) = 15s
;
40s - 800 = 15s
;
40s - 15s = 800
25s = 800
s = 800%2F25
s = 32 mph is the motorbike
;
you can find bike speed