Question

please help!
> The total distance was 540 miles. Part of the journey was on motorcycle at 40mph, and part was in a car at 60mph. What distance was covered by motorcycle if the total time of the journey was 11hours?

Answer 1

distance = speed * time
d = vt
Let t = time traveled by motorcycle, then 11 - t = time traveled by car

For the motorcycle:
dm = vt = 40t

For car:
dc = vt = 60(11 - t)

Total distance = dt + dc
540 = 40t + 60(11 - t)
540 = 40t + 660 - 60t
-120 = -20t
t = 6
The motorcucle traveled 6 hours at 40mph, so
d = vt = 40 * 6 = 240
The distance traveled in the motorcylce was 240 miles