Answer :
Final answer:
The car will take 30 minutes to travel the same distance at 120 km/h, which is a reduction of 15 minutes from the time taken at 80 km/h.
Explanation:
To find out how long the car will take to cover the same distance at a higher speed, we first need to calculate the distance covered at the initial speed of 80 km/h. Since the car travels for 45 minutes, we convert minutes to hours to match the speed unit of km/h. Therefore, 45 minutes is 0.75 hours (45/60).
The distance covered by the car can be calculated as:
- Distance = Speed × Time = 80 km/h × 0.75 h = 60 km
Next, we need to find the time it takes to cover 60 km at the faster speed of 120 km/h:
- Time = Distance / Speed = 60 km / 120 km/h = 0.5 hours
- Converting 0.5 hours back into minutes gives us 0.5 × 60 = 30 minutes.
Therefore, the car will take 30 minutes to cover the same distance at 120 km/h, which is 15 minutes less than the time taken at 80 km/h.
