Acar traveling 90 km/hr is 100 m behind a truck traveling 50 km/hr. how long will it take the car to reach the truck?

v = speed of car = 90 km/h

u = speed of truck = 50 km/h

d = initial separation distance = 100 m = 0.1 km

They meet at time t such that

vt = d + ut

t(v - u) = d

t = d/(v - u) = (0.1 km) / [(90 - 50) km/h] = 0.0025 hours

95t - .210 = 50t

95t - 50t = 0.210

45t = 0.210

t = 0.210/45

t = 0.0047 km/hr

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