Multiple choice

A man travelled a distance of 50 km in 8 hours. He travelled partly on foot at 5 km/hr, and partly on bicycle at 7 km/hr. What is the distance (in km) travelled on foot?

  1. 20

  2. 25

  3. 15

  4. 30
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be distance on foot, (50-x) on bicycle. Time = x/5 + (50-x)/7 = 8. Multiply by 35: 7x + 5(50-x) = 280. 7x + 250 - 5x = 280. 2x = 30. x = 15.

AI explanation

Let the distance traveled on foot be x kilometers, which makes the distance traveled on the bicycle 50 - x kilometers. Using the formula time equals distance divided by speed, the total time is the sum of the individual times, giving x/5 + (50 - x)/7 = 8. Multiplying the equation by 35 gives 7x + 5(50 - x) = 280, which simplifies to 2x + 250 = 280. Solving for x yields 15, so the distance traveled on foot is 15 km.

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