Multiple choice

A car travels a distance of $170$ km in $2$ hours, partly at a speed of $100$ km/hr and partly at $50$ km/hr. The distance travelled at the speed of $50$ km/hr is

  1. $50$ km
  2. $40$ km
  3. $30$ km
  4. $60$ km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be distance at 100 km/h, y be distance at 50 km/h. x+y=170, x/100 + y/50 = 2. x + 2y = 200. Subtracting: y = 30.

AI explanation

Let the distance traveled at 50 km/hr be x kilometers, meaning the distance traveled at 100 km/hr is (170 - x) kilometers. Using the formula time equals distance divided by speed, the total time is x divided by 50 plus (170 - x) divided by 100, which equals 2 hours. Multiplying by 100 gives 2x plus 170 minus x equals 200, so x equals 30. The distance traveled at 50 km/hr is 30 km.

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