Mrs. Dela Cruz rode a bus bound for Pangasinan at exactly 3 am. After 1.5 hours, her husband followed, driving the family car at 90 kph assuming that the bus is travelling at the average speed of 60 kph. At what time did her husband overtake the bus?
with solution please. thank you

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Answers

2016-03-23T21:02:23+08:00
Let x   =  time taken for the car to overtake the bus
               thus  x + 1.5  = time required for the bus to be overtaken
               distance travelled by car = distance travelled by  bus

            90 x =  60(x + 1.5)         /      distance  =  time x speed
            30 x   = 60 x 1.5
                    x = 2 * 1.5     =    3 hrs
            time when the bus will be overtaken =   3 + 3  =   6 am
            
       
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