Multiple choice

A bus covers a certain distance at the speed of 45 km/hr to reach a petrol pump and returns back at the rate of 30 km/hr to initial position. The whole journey takes 3 hours and 45 minutes. What is the distance travelled by the bus from the petrol pump to the initial position?

  1. 67.5 km

  2. 85.5 km

  3. 68.9 km

  4. 55.7 km

  5. 25.5 km
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A Correct answer
Explanation

Let distance be D. Total time = D/45 + D/30 = 3.75 hours. (2D + 3D) / 90 = 3.75. 5D = 337.5. D = 67.5 km.

AI explanation

Using the formula time equals distance divided by speed, the total journey time of 3 hours and 45 minutes is 3.75 hours, which equals D divided by 45 plus D divided by 30. Finding a common denominator of 90 gives the equation 2D plus 3D equals 337.5, simplifying to 5D equals 337.5. Solving this yields D equals 67.5, so the return distance is 67.5 km.

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