Multiple choice

A man covers a distance of 200 km in 4 hours partly by train and partly by car. If the speed of the train is 40 km/h and the speed of the car is 60 km/h, how much distance did he travel by car?

  1. 50 km

  2. 100 km

  3. 120 km

  4. 150 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the distance by train and (200-x) be the distance by car. Time = x/40 + (200-x)/60 = 4. Multiply by 120: 3x + 2(200-x) = 480. 3x + 400 - 2x = 480, so x = 80. Distance by car = 200 - 80 = 120 km.

AI explanation

Let the distance travelled by car be x kilometers, which means the distance travelled by train is 200 minus x. Using the formula Time equals Distance divided by Speed, the total time of 4 hours gives the equation x/60 plus (200 minus x)/40 equals 4. Multiplying by 120 yields 2x plus 600 minus 3x equals 480, so x equals 120. The distance he travelled by car is 120 km.

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