A bus is traveling from City A to City B. If the bus doesn't stop anywhere on…

2025

A bus is traveling from City A to City B. If the bus doesn't stop anywhere on the way, its average speed works out to 50 km/hr but if it takes 4 stops of 15 minutes each the distance between the two cities. average speed works out to 40 km/hr. Find the Distance.

  1. A.

    300 Kms.

  2. B.

    400 Kms.

  3. C.

    200 Kms.

  4. D.

    280 Kms.

Attempted by 48 students.

Show answer & explanation

Correct answer: C

Answer: 200 Kms.

Let the distance between the two cities be D km.

  1. When the bus does not stop, average speed = 50 km/hr, so time = D ÷ 50 hours.

  2. With four stops of 15 minutes each, total stoppage time = 4 × 15 min = 60 min = 1 hour.

  3. Given the average speed including stops is 40 km/hr, the total time including stops = D ÷ 40 hours.

  4. Set up the equation: time without stops + stoppage time = time with stops, i.e. D ÷ 50 + 1 = D ÷ 40.

  5. Solve the equation: multiply both sides by 200 to clear denominators: 4D + 200 = 5D, so D = 200.

Therefore the distance between the two cities is 200 km.

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