Question 176867
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/speed}}}
C's travel time = P's travel time
{{{40/s}}} = {{{15/(s-20)}}}
cross multiply
40(s-20) = 15s
;
40s - 800 = 15s
;
40s - 15s = 800
25s = 800
s = {{{800/25}}}
s = 32 mph is the motorbike
;
you can find bike speed