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Answer the question based on the following information.

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 $\text{100 km}$ long.

Ms X and Mr Y leave A at $\text{8.00 a.m.,}$ 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 $\text{61.875 kmph.}$ Y takes the direct route AC and travels at $\text{45 kmph}$ on segment AD. Y’s speed on segment DC is $\text{55 kmph.}$

The total distance travelled by Y during the journey is approximately

  1. $\text{105 km}$
  2. $\text{150 km}$
  3. $\text{130 km}$
  4. Cannot be determined
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