Multiple choice

In covering a distance of $30km$. Amit takes $2hrs.$ more than suresh. If Amit doubles his speed, he would take one hour less than suresh. Amit's speed is

  1. $5km/hr$
  2. $7.5km/hr$
  3. $6km/hr$
  4. $6.25km/hr$
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A Correct answer
Explanation

Let Amit's speed be x and Suresh's speed be y. 30/x - 30/y = 2 and 30/y - 30/(2x) = 1. Adding the equations: 30/x - 15/x = 3, so 15/x = 3, x = 5.

AI explanation

Let Amit's speed be x km/hr and Suresh's time for the 30 km distance be T hours. Using the formula Time = Distance / Speed, Amit's original time is 30/x, giving the equation 30/x - T = 2. When Amit doubles his speed, his new time is 30/2x, giving the equation T - 30/2x = 1. Adding the two equations eliminates T and results in 30/x - 15/x = 3. Solving 15/x = 3 gives Amit's speed as 5 km/hr.

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