A car moves at a speed of 54 km/hr after repairing and at a speed of 36 km/hr…

2021

A car moves at a speed of 54 km/hr after repairing and at a speed of 36 km/hr before repairing. It covers a distance of x km in 6 hours after repairing. How much time will it take to cover a distance of 3x km before repairing?

  1. A.

    27 hours

  2. B.

    32 hours

  3. C.

    24 hours

  4. D.

    30 hours

Attempted by 166 students.

Show answer & explanation

Correct answer: A

Solution: Find x from the after-repair information and then compute the required time before repair.

  1. Step 1: Calculate x. After repair speed = 54 km/h and time = 6 h, so x = 54 × 6 = 324 km.

  2. Step 2: Distance to cover before repair = 3x = 3 × 324 = 972 km.

  3. Step 3: Time at before-repair speed = distance ÷ speed = 972 ÷ 36 = 27 hours.

Final answer: 27 hours.

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