Correct Answer - Option 1 : 120/19 min
Given:
Distance = 4 km
Time = 6 minutes
Formula:
Distance = Speed × Time
Speed = Distance/Time
Calculation:
Time = 6 minutes
⇒ Time = (6/60) hr = (1/10) hr
⇒ Speed = Distance/Time = 4/(1/10)
⇒ Speed = 40 km/hr
According to question,
If its speed is decreased by 2 km/hr
⇒ New speed = (40 - 2) km/hr = 38 km/hr
Time taken by the car to cover same distance,
Time = Distance/Speed
⇒ Time = (4/38) hr = (4/38) × 60 = 120/19 minutes
∴ The time taken by the car to cover same distance is 120/19 minutes.