Multiple choice

To cover a distance of 30 km, Amit takes 2 hours more than Suresh. If Amit doubles his speed, he would take 1 hour less than Suresh. What is Amit`s speed?

  1. 5 km/h

  2. 6 km/h

  3. 6.5 km/h

  4. 7 km/h
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A Correct answer
Explanation

Let Amit's speed be v. Time taken = 30/v. Suresh's time = 30/v - 2. If Amit doubles speed (2v), time = 30/2v = 15/v. This is 1 hour less than Suresh, so 15/v = (30/v - 2) - 1. 15/v = 30/v - 3. 3/v = 15/30? No, 3 = 15/v, so v = 5.

AI explanation

Let Amit's speed be x kmph and Suresh's time be t hours. Based on the given information, we form two equations: 30 divided by x equals t plus 2, and 30 divided by 2x equals t minus 1. Subtracting the second equation from the first eliminates t, resulting in 30 divided by x minus 30 divided by 2x equals 3. Solving this gives 30 divided by 2x equals 3, so x equals 5 kmph.

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