Multiple choice

A man by motorcycle goes from Bihar to Bhagalpur, a distance of 192 km, at an average speed of 32 kmph. Another man starts from Bihar by car 2.5 h after the motorcyclist starts and reaches Bhagalpur half an hour late. What is the ratio of person on the motorcycle to the person going by car?

  1. 1:2

  2. 2:3

  3. 4:5

  4. 10:27

  5. 5:4
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B Correct answer
AI explanation

Using the formula Time equals Distance divided by Speed, the motorcyclist takes 192 km divided by 32 kmph, which equals 6 hours. The car starts 2.5 hours later and reaches 0.5 hours later than the motorcyclist, meaning the car takes 6 minus 2.5 plus 0.5, equaling 4 hours. The speed of the car is 192 km divided by 4 hours, which is 48 kmph. The required ratio of the speed of the motorcyclist to the car is 32 to 48, which simplifies to 2:3.

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