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Two cabs A and B start from town C for town D. If the distance between the two towns is 540 km and the slower taxi travelling at an average speed of 9
Question

Two cabs A and B start from town C for town D. If the distance between the two towns is 540 km and the slower taxi travelling at an average speed of 90 km/hr takes an hour more than the faster taxi, then find the speed (in km/hr) of the faster taxi.

A.

99

B.

108

C.

126

D.

117

Correct option is B


Given:
· Distance between towns C and D: 540 km
· Speed of the slower taxi (Taxi B): 90 km/hr
· The slower taxi takes  1 hour more than the faster taxi (Taxi A) to cover the distance.
Let:
· v = speed of the faster taxi (Taxi A) in km/hr
Calculate the time taken by the slower taxi (Taxi B):
Time = Distance/Speed = 540/90 = 6 hours
the time taken by the faster taxi (Taxi A):
The faster taxi takes  1 hour less than the slower taxi, so:
Time taken by Taxi A = 6 – 1 = 5 hours
Use the time to find the speed of the faster taxi:
Speed = Distance/Time = 540/5 = 108 km/hr

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