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a bus left a bus station in 5 pm and travels at the rate of 50 kph. Another bus on the same route left the bus station 1 hour later and overtakes the first bus at 7 pm. What is the rate or speed of the second bus? If you answer this, thank you for it

Sagot :

Answer:

100kmph

Step-by-step explanation:

v1 = 50 kph ; v2 = ? kph ; t1 = 2 h ; t2 = 1 h

Let v1 = the speed of bus 1 and let v2 = the speed of bus 2

Let t1 = the travel time of bus 1 and let t2 = the travel time of bus 2

Solving for the distance traveled by bus 1

distance = speed * time

distance = v1 * t1 = 50 kph * 2 h = 100 km

The distance traveled by bus 2 is also 100 km at the time of overtaking bus 1

Solving for the speed of bus 2

speed_bus 2 = distance / time of travel

speed_bus 2 = 100 km / 1 h

speed_bus 2 = 100 km/h

The rate of the second bus is 100 km/h.