prasoon cycled a distance of 180 km at a certain speed. if he cycled 2 km slower every hour, he would have taken 3 more hours to reach the destination. Select from the options, the speed in km/hr at which prasoon actually cycled
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The distance covered = 180km
Let Prason's speed = xkm/h
Time taken = Distance/Speed
= 180/x
If he cycled 2 km slower every hour, his speed would have been = (x-2)km/h
Time taken = 180/(x-2)
This is 3 hours more that the previous time:
180/(x-2) - 180/x = 3
3x² - 6x - 360 = 0
x = 12 km/h (see the attached solution)
Prason actually cycled at 12km/h
Let Prason's speed = xkm/h
Time taken = Distance/Speed
= 180/x
If he cycled 2 km slower every hour, his speed would have been = (x-2)km/h
Time taken = 180/(x-2)
This is 3 hours more that the previous time:
180/(x-2) - 180/x = 3
3x² - 6x - 360 = 0
x = 12 km/h (see the attached solution)
Prason actually cycled at 12km/h
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12km/h.....................
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