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A passenger arriving in a new town wishes to go from the station to a hotel located 10km away on a straight road from the station. A dishonest cabman takes him along a circuitous path 23km long and reaches the hotel in 28 minutes, what is the average speed of the taxi?

(a) 21.43km/h

(b) 75km/h

(c) 49.3km/h

(d) 21km/h

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Right choice is (c) 49.3km/h

Best explanation: Magnitude of displacement = 10km

Total path length = 23km

Time taken = 28mins = 28/60h = 7/15h

Average speed = (Total path lenght)/(Time taken) = 23/(7/15) = 49.3km/h.

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