Problema Solution

A victory liner bus traveling at a rate of 70 km/h leaves the station 2hrs after a freight truck has left and overtakes it in 5hrs. At what rate was the freight truck traveling?

Answer provided by our tutors

let


v1 = 70 km/h the rate of the victory linear bus

t1 = 5 hr the time of the travel of the victory bus till the overtake

v2 = the rate of a the freight truck

t2 = 7 hr the time of travel of the freight truck till the overtake


since rate = distance/time => distance = rate*time


the bus and the truck traveled the same distance thus


v1*t1 = v2*t2


70*5 = 7*v2


v2 = (70*5)/7


v2 = 50 km/h


the rate of the freight truck is 50 km/h.