Correct Answer - Option 3 : A
Given:
In 1st case when bus runs at 80km per hour it reaches its destination 40 minutes late
In 2nd case when bus runs at 90km per hour it reaches its destination only 8 minutes late.
Formula used:
Time = Distance/speed
Calculation:
Let the correct time for the train to complete the journey is X minutes.
Then the train cover distance in X + 40 minutes at speed 80 km per hour
⇒
80 × (X + 40)/60
Now the train cover X + 8 minutes at speed 90km per hour
⇒ 90 × (X + 8)/60
Now,
80 × (X + 40)/60 = 90 × (X + 8)/60
⇒ 80X + 3200 = 90X + 720
⇒ 10X = 2480
⇒ X = 248
∴ The correct answer is 248 min.