Answer: 352 miles
Step-by-step explanation:
At the point where the car overtook the bus, the car and the bus would have travelled the same distance.
Let x represent the distance covered by bus and the car before the car overtook the bus.
Let t represent the time taken by the bus to travel x miles.
The bus was traveling at 64 km an hour.
Distance = speed × time
Distance travelled by the bus in t hours would be
x = 64 × t = 64t
if the bus has a 1.5 hour Headstart, it means that the car started moving 1.5 hours after the bus has moved.
Therefore, time spent by the car would be t - 15 hours.
The car traveling at 88 km an hour
Distance covered by the car in t - 1.5 hours would be
x = 88(t - 1.5) = 88t - 132
Since the distance covered is equal, then
88t - 132 = 64t
88t - 64t = 132
24t = 132
t = 132/24
t = 5.5 hours
Therefore, the distance from the starting point when the car overtook the bus would be
x = 64 × 5.5 = 352 miles
