A cyclist moves non stop from A to B a distance of 14 km at a certain average speed If his average s...........

Quantitative Aptitude (CDS) Time & distance

A cyclist moves non-stop from A to B, a distance of 14 km, at a certain average speed. If his average speed reduces by 1 km per hour, he takes 20 minutes more to cover the same distance. The original average speed of the cyclist is

5 km/hour

6 km/hour

7 km/hour

None of the above

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Explanation:

Let Average speed = x km/hr
Time taken = t hr
Distance = 14 km
⇒ x = 14 / t . . ................... (1)
According to question,
Now Average speed = (x – 1) km/hr
Time taken = (t +20 / 60 )hr =(t +1 / 3)hr
Distance = 14 km
x - 1 = 14 / ( t +1/3 )
=> 14/t - 1 = 14 / (t + 1/3) $\because$ x = 14/t