Multiple choice

A man can reach a certain place in 40 hours. If he reduces his speed by 1/13th, he goes 5 km less in that time. Find the total distance covered by him?

  1. 45 km

  2. 65 km

  3. 72 km

  4. 55 km

  5. 56 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original speed be v km/hr. Distance = v × 40 km. Reduced speed = v - v/13 = 12v/13 km/hr. Distance at reduced speed = (12v/13) × 40 = 480v/13 km. Difference: 40v - 480v/13 = (520v - 480v)/13 = 40v/13 = 5 km. So v = (5 × 13)/40 = 65/40 = 13/8 km/hr. Original distance = (13/8) × 40 = 65 km.

Keep practicing — related questions