Multiple choice

A train after travelling 80 km meet with an accident its speed is reduced by 20% hence reached its destination 1 hour late. If this accident occured after 48 kms. train would have late by 30 minutes. Find the distance of total journey?

  1. 240 km

  2. 365 km

  3. 256 km

  4. 176 km

  5. None of these

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

Let original speed be v km/h and total distance be D km. After 80 km, accident occurs, speed becomes 0.8v. Time at original speed: 80/v + (D-80)/v = D/v hours. Time with accident: 80/v + (D-80)/(0.8v) = D/v + 1 hour. This gives (D-80)/(0.8v) - (D-80)/v = 1. If accident at 48 km: 48/v + (D-48)/(0.8v) - D/v = 0.5. Solving these equations yields D = 176 km. Option D is correct.