A taxi going at 90 km/hr takes 35 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 21 minutes?
Speed of car = 90 km/hr
Time taken by car = 35 minutes = $$\frac{35}{60}$$ km/hr
=> Distance travelled = speed x time
= $$90\times\frac{35}{60}=52.5$$ km
Thus, speed required to travel the same distance in 21 minutes ($$\frac{21}{60}$$) hr = $$\frac{52.5}{\frac{21}{60}}$$
= $$150$$ km/hr
$$\therefore$$ Increase in speed = $$150-90=60$$ km/hr
=> Ans - (A)
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