CAT Quant Practice Problems

Question: A certain race is made up of three stretches: A, B and C, each 2 km long, and to be covered by a certain mode of transport. The following table gives these modes of transport for the stretches, and the minimum and maximum possible speeds (in km/hr) over these stretches. The speed over a particular stretch is assumed to be constant. The previous record for the race is 10 min.

Min.

Max.

A

Car

40

60

B

Motorcycle

30

50

C

Bicycle

10

20

Mr Tortoise completes the race at an average speed of 20 km/hr. His average speed for the first two stretches is four times that for the last stretch. Find the speed over stretch C.

15 km/hr
12 km/hr
10 km/hr
This is not possible
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