at 7:30 am, a bus left town P for town Q at a speed of 60 kilometers per hour. 15 minutes later, a car left town ! and headed for town P. The car reached town P at 10:45am The bus reached town Q at noon.
a) what is the distance between town P and town Q?
b)what is the speed of the car?

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Accepted Answer

a)  The distance between towns P and Q can be found with the information about the bus.  The bus left P at 7:30 and arrived at Q at 12:00, making his trip 4:30, or 4.5 hours, long.  The problem says the bus is driving at 60 km/h.  Therefore, the bus drives at 60 km/h for 4.5 hours.  To find the distance traveled:[tex](4.5 hrs)(\frac{60 km}{1 hr}) = 270 km[/tex]So, the answer to a) is 270 km.b) The speed of the car can be found now that the distance between the towns is known.  We know that the car left town Q at 7:45 and reached town P at 10:45, making the car's trip 3 hours long.  Therefore, the car traveled 270 km in 3 hours.  [tex]speed = \frac{distance}{time}[/tex], so [tex]speed = \frac{270km}{3hrs}[/tex] = 90 km/hr