To solve this, we can first find the distance the car covers during the journey at 40 km/h in 9 hours, and then calculate how long it will take to cover the same distance at 60 km/h.
Step 1: Find the total distance
[
\text{Distance} = \text{Speed} \times \text{Time}
]
Given the speed is 40 km/h and the time is 9 hours, the distance is:
[
\text{Distance} = 40 \times 9 = 360 \, \text{km}
]
Step 2: Find the time taken at 60 km/h
Now, we use the formula for time to find out how long it takes to cover the same distance at 60 km/h:
[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{360}{60} = 6 \, \text{hours}
]
So, it will take 6 hours to travel the same distance at 60 km/h.
