products train leaves a station at a sure time and at a settled rate.…

2025

products train leaves a station at a sure time and at a settled rate. Following 6 hours, an express prepare leaves the same station and moves in the same bearing at a uniform velocity of 90 kmph. This train makes up for lost time the merchandise train in 4 hours. Discover the velocity of the merchandise train.

  1. A.

    33 kmph

  2. B.

    37 kmph

  3. C.

    36 kmph

  4. D.

    65 kmph

Attempted by 1 students.

Show answer & explanation

Correct answer: C

Step-by-Step Solution

  1. Define Variables: Let the velocity of the merchandise train be x kmph.

  2. Understand the Travel Time:

    • The merchandise train had a 6-hour head start.

    • The express train took 4 hours to catch up.

    • Therefore, the total travel time for the merchandise train is 6 + 4 = 10 hours.

    • The travel time for the express train is 4 hours.

  3. Equate Distances: Since both trains travel the same distance to reach the meeting point, we equate their distances:

    • Distance of merchandise train = Speed × Time = x * 10

    • Distance of express train = Speed × Time = 90 * 4

    • Equation: 10x = 360

  4. Solve for x:

    • x = 360 / 10

    • x = 36 kmph.

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