Multiple choice

There was a race between Anand and Rajesh from point 'x' to point 'y' which were 55 km apart. Both started at the same time, Anand at 40 km/hr. After covering a certain distance Anand increased his speed to 50 km/hr and reached 'y' in 1 hour 15 min after leaving 'x'. Rajesh was going with a uniform speed and it took him 1 hour 30 min. What was the distance between Anand and Rajesh when Anand changed his speed?

  1. 2 km

  2. 2.5 km

  3. 3 km

  4. 3.5 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Anand's total time is 1.25 hours. Let t be the time at 40 km/hr. Distance = 40t + 50(1.25 - t) = 55. 40t + 62.5 - 50t = 55, so 10t = 7.5, t = 0.75 hours. Anand traveled 40 * 0.75 = 30 km before changing speed. Rajesh traveled 30 km at 55/1.5 = 36.67 km/hr. Rajesh's distance = 36.67 * 0.75 = 27.5 km. Difference = 30 - 27.5 = 2.5 km.

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