A bus leaves a bus station at 9:00 am and travels on the Eastbound Highway. A second bus leaves the same bus station 45 minutes later and travels in the same direction on the same highway at a speed of 20 kilometers per hour faster than the first bus. The second bus catches up with the first bus at 12:00. How fast was each bus traveling? (Include units in your answer. ) A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question

Respuesta :

The speed of the first bus is 60 km/h while the speed of the second bus is 80 km/h.

Speed

Speed is the rate of change of distance with time. It is given by:

Speed = distance / time

Let a represent the speed of the first bus, and b represent the speed of the second bus.

b = a + 20

At 12:00, t = 3 hours, hence:

a = d/3

d = 3a

Also:

b = d/2.25

d = 2.25b

3a = 2.25b

3a = 2.25(a + 20)

a = 60

b = 60 + 20 = 80

The speed of the first bus is 60 km/h while the speed of the second bus is 80 km/h.

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