Question

Intercity train covers a certain distance in 45 min. If its speed is reduced by 5 km/hrs, it takes 3 min more to cover the same distance. What will be the distance (in km):

1. 60 km
2. 70 km
3. 80 km 
4. 90 km

Answer 1

Correct Answer - Option 1 : 60 km

Given: 

time taken by intercity train =  45 minutes

Concept Used

speed is inversely proportional to time when distance is same

Calculation:

⇒ Ratio of time taken = 45 : 48 = 15 : 16

⇒ Ratio of speed = 16 : 15

⇒ 1 units ratio = 5 km/hrs.

⇒ 16 units ratio = 80 km/hrs.

∴ Distance = 80 × 45/60 = 60 km