Multiple choice

Ajay covers certain distance with his own speed but when he reduced his speed 10 km/h, his time duration for the journey increased by 40 hours while if, he increases speed by 5 km/h from his original speed, he takes 10 hours less than the original time taken. Find the distance covered by him.

  1. 1000 km

  2. 1200 km

  3. 1500 km

  4. 1800 km

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original speed = v, distance = d, time = t = d/v. From reduced speed: d/(v-10) = d/v + 40. From increased speed: d/(v+5) = d/v - 10. Solving gives v = 20 km/h, d = 1500 km. The answer correctly sets up and solves the system of equations relating speed, time, and distance.