**Question:**A road network (shown in the figure below) connects cities A, B, C and D. All road segments are straight lines. D is the mid-point on the road connecting A and C. Roads AB and BC are at right angles to each other with BC shorter than AB. The segment AB is 100 km long. Ms X and Mr Y leave A at 8.00 a.m., take different routes to city C and reach at the same time. X takes the highway from A to B to C and travels at an average speed of 61.875 kmph. Y takes the direct route AC and travels at 45 kmph on segment AD. Y’s speed on segment DC is 55 kmph.

What is the average speed of Y?

- 47.5 kmph
- 49.5 kmph
- 50 kmph
- 52 kmph

## CAT Quant Questions with Video Solutions

- CAT Quant Questions Set 01
- CAT Quant Questions Set 02
- CAT Quant Questions Set 03
- CAT Quant Questions Set 04
- CAT Quant Questions Set 05
- CAT Quant Questions Set 06