Multiple choice

Sujal covers a distance in $40$ min, if she drives at a speed of $60$ km/h on an average . Find the speed at which she must drive at to reduce the time of the journey by $25\%$.

  1. $60$ km/h
  2. $7$0 km/h
  3. $75$ km/h
  4. $80$ km/h
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

At 60 km/h for 40 minutes, the distance is 40 km. Reducing the time by 25% gives 30 minutes, so the required speed is 40 km divided by 0.5 hours, or 80 km/h.

AI explanation

A 25% reduction in the 40 minute travel time reduces it by 10 minutes, making the new time 30 minutes, or 0.5 hours. Using the formula distance equals speed multiplied by time, the distance is 60 km/h multiplied by 2/3 hours, which equals 40 km. Dividing this distance by the new time of 0.5 hours gives a required speed of 80 km/h.