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?
:
Let d = distance between towns A & B; (dist = speed * time)
:
Change 1 hr 40 min to 1{{{2/3}}} = {{{5/3}}} hrs
:
When the car meets the motorcycle, they will have traveled the A-B distance
:
Total dist = car dist + motorcycle dist
d = 70*{{{5/3}}} + 80*{{{5/3}}}
d = {{{350/3}}} + {{{400/3}}}
d = {{{750/3}}}
d = 250 km from A to B
:
Motorcycle travel time = {{{250/80}}} = 3.125 hrs which is 3 hr 7.5 min