Multiple choice

A vendor travels from his city to another city to sell the fruits. One day, after travelling half the distance, he gets stuck in the traffic. After 30 minutes, he manages to catch an auto and reaches his destination on time. Had he gotten stuck in the traffic 3 km back, he would have had 37.5 minutes to catch the auto and reach the destination on time. If the speed of the auto is 2 km/hr more than that of the man, then find the speed of the man in km/hr.

  1. 3.5

  2. 4.5

  3. 5

  4. 6

  5. 7.5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be 2D, speed of man be v, speed of auto be v+2. Time taken for second half is D/v. If he started 3km earlier, he would have D+3/v. The difference in time is 7.5 minutes (0.125 hours). Solving the equation gives v = 6.

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