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7 May, 04:30

a car travels at a speed of 80 km/h for 2½ hours from town P to town Q. Then the car increases its speed by 25% and maintains that speed for a further 150 km from town Q to town R. Calculate the average speed for the whole journey.

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  1. 7 May, 05:33
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    So this is not too hard, as with any math problem we write what we know.

    Starting speed: 80km/h

    Time from P to Q: 2.5h

    Increase in speed: 20km/h (25% is dividing by 4)

    Distance from Q to R: 150 kilometers

    So let's find the speed and distance for both legs of the trip.

    Speed for P to Q: 80km/h

    Distance from PtoQ: 200km (2.5h * 80km/h)

    Speed from Q to R: 100km/h (80 + 20)

    Distance from QtoR: 150km.

    Now we multiply the speeds by their respective distances add them and then divide by the total distance.

    ((80 * 200) + (100 * 150)) / 350 = ~88.57143
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