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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A motorist traveled along a straight road from town A to town Bar 70 km/h. A motorcyclist traveled from town to town A at 80km/h Both started the journeys at the same time and trav      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1110003: A motorist traveled along a straight road from town A to town Bar 70 km/h. A motorcyclist traveled from town to town A at 80km/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 and 40 minutes, find the distance between town A and B. And how long did the motorcyclist take to travel his whole journey?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
(1) A motorist traveled along a straight road from town A to town B at 70 km/h.
(2) A motorcyclist traveled from town B to town A at 80 km/h.
(3) Both started the journeys at the same time and traveled on the same road.
(4) a) If they passed each other after traveling for 1 hour and 40 minutes, find the distance between town A and B.
(5) b) How long did the motorcyclist take to travel his whole journey?
~~~~~~~~~~~~~~~~~

            Your post was formulated quite inaccurately.
            So I rewrote it to make everything clear.

a)  The distance between town A and B = %285%2F3%29%2A70+%2B+%285%2F3%29%2A80 = %285%2F3%29%2A%2870%2B80%29 = %285%2F3%29%2A150 = 5*50 = 250 kilometers.    (5%2F3 = 5%2F3 hours = 1 hour 40 minutes)


b)  How long did the motorcyclist take to travel his whole journey = Distance%2FAverage_speed = 250%2F80 = 31%2F8 hours = 3 hours 7.5 minutes.

-------------
For introductory lessons on Travel and Distance, see the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.