Multiple choice

A train starts from Agra to Mathura at a speed of $60$ km/hr and reaches there in $45$ min. If on return its speed is reduced by $10$%, how long will it take to reach Agra from Mathura?

  1. $1$ hr
  2. $50$ min
  3. $1$ hr $20$ min
  4. $49$ min
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance = speed * time = 60 km/h * (45/60) h = 45 km. New speed = 60 - 10% of 60 = 60 - 6 = 54 km/h. Time = distance / speed = 45 / 54 h = 5/6 h = 50 min.

AI explanation

The return speed is reduced by 10 percent, making the new speed 90 percent of 60 km/hr, which equals 54 km/hr. Using the formula time equals distance divided by speed, the distance is 60 multiplied by 0.75 hours, giving 45 km. The return time is 45 divided by 54 hours, which equals 5/6 of an hour, resulting in 50 minutes.