Question

A bus leaves town X at 1200 h for town Y at a speed of 64km/h. At the same time another bus leaves town Y for town X travelling at a constant speed of 60 km/h. Given that the distance between the two towns is 186 km,draw a distance _time graph showing both journeys and from your graph find when and where the buses pass each other

Answer 1

v = speed

s = distance

t = time

speed = distance / time

v = s / t

s = v • t

For first bus:

s1 = 64 t

For second bus:

s2 = 60 t

When the buses meet, the total length will be:

s1 + s2 = 186 km

64 t + 60 t = 186

124 t = 186

t = 186 / 124 = 62 • 3 / 62 • 2 =

3 / 2

t = 3 / 2 h = 1.5 h = 1h 30 min

12:00h + 1h 30 min= 13h 30 min =

13:30