CAT Quant Practice Problems

Question: Two straight roads R1 and R2 diverge from a point A at an angle of 120°. Ram starts walking from point A along R1 at a uniform speed of 3 km/hr. Shyam starts walking at the same time from A along R2 at a uniform speed of 2 km/hr. They continue walking for 4 hr along their respective roads and reach points B and C on R1 and R2 respectively. There is a straight line path connecting B and C. Then Ram returns to point A after walking along the line segments BC and CA. Shyam also returns to A after walking along line segments BC and CA. Their speeds remains unchanged. The time interval (in hours) between Ram’s and Shyam’s return to the point A is
  1. \(\frac{{10\sqrt {19} + 26}}{3}\)
  2. \(\frac{{2\sqrt {19} + 10}}{3}\)
  3. \(\frac{{\sqrt {19} + 26}}{3}\)
  4. \(\frac{{\sqrt {19} + 10}}{3}\)

Correct Option:2

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