SOLUTION: A motorist traveled along a straight road from Town A to Town B at 70 km/h. A motorcyclist traveled from Town B to Town A at 80 km/h. Both started the journeys at the same time and

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Question 323486: A motorist traveled along a straight road from Town A to Town B at 70 km/h. A motorcyclist traveled from Town B to Town A at 80 km/h. Both started the journeys at the same time and traveled on the same road. If they passed each other after traveling for 1 hour 40 minutes, find the distance between Town A and Town B. How long did the motorcyclist take to travel his whole journey?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A motorist traveled along a straight road from Town A to Town B at 70 km/h.
A motorcyclist traveled from Town B to Town A at 80 km/h.
Both started the journeys at the same time and traveled on the same road.
If they passed each other after traveling for 1 hour 40 minutes,
find the distance between Town A and Town B.
How long did the motorcyclist take to travel his whole journey?
:
Let d = distance between towns A & B; (dist = speed * time)
:
Change 1 hr 40 min to 12%2F3 = 5%2F3 hrs
:
When the car meets the motorcycle, they will have traveled the A-B distance
:
Total dist = car dist + motorcycle dist
d = 70*5%2F3 + 80*5%2F3
d = 350%2F3 + 400%2F3
d = 750%2F3
d = 250 km from A to B
:
Motorcycle travel time = 250%2F80 = 3.125 hrs which is 3 hr 7.5 min