Multiple choice

A train covers a certain distance in 45 minutes. If train reduces it’s speed to 5 km/h then it took 3 minutes more to cover the same distance . Find the distance covered by the train .

  1. 45

  2. 50

  3. 48

  4. 60

  5. None of these

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

Let the original speed be v km/h. Distance = v × (45/60) = 0.75v km. At reduced speed (v-5) km/h, time = 48/60 = 0.8 hours. So 0.75v = (v-5) × 0.8, giving 0.75v = 0.8v - 4, so 0.05v = 4, v = 80 km/h. Distance = 80 × 0.75 = 60 km. Verification: At 75 km/h, time = 60/75 = 0.8 hours = 48 minutes, which is 3 minutes more than 45 minutes. Therefore D (60) is correct.