Multiple choice

A man covers a distance of 300 kms in 10 hours partly by car at 60 km/hr and remaining by walk at 10 km/hr. Find the distance covered by car.

  1. 60 kms

  2. 120 kms

  3. 180 kms

  4. 240 kms
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D Correct answer
Explanation

Let distance by car be x. Time by car = x/60. Distance by walk = 300 - x. Time by walk = (300 - x)/10. x/60 + (300 - x)/10 = 10. Multiply by 60: x + 6(300 - x) = 600. x + 1800 - 6x = 600. -5x = -1200. x = 240.

AI explanation

Let the distance covered by car be x km. The time taken by car is x / 60 and the time taken by walking is (300 - x) / 10. The total time is 10 hours, so x / 60 + (300 - x) / 10 = 10. Multiplying by 60 gives x + 1800 - 6x = 600. Solving for x yields 5x = 1200, which means the car covers 240 km.

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