How long will it take for a car traveling at a constant speed of 25 m/s to travel through a 1 km tunnel?

To determine how long it will take for the car to travel through a 1 km tunnel at a constant speed of 25 m/s, we first need to convert the distance of the tunnel into meters. Since 1 km is equivalent to 1,000 meters, the distance the car needs to travel is 1,000 meters.

Next, we can use the formula for time, which is:

[ \text{Time} = \frac{\text{Distance}}{\text{Speed}}. ]

Plugging in the values:

[ \text{Time} = \frac{1000 , \text{meters}}{25 , \text{m/s}}. ]

Calculating that gives:

[ \text{Time} = 40 , \text{seconds}. ]

Thus, it will take the car 40 seconds to travel through the 1 km tunnel at a speed of 25 m/s. This calculation aligns with the answer provided, confirming that 40 seconds is the correct amount of time for the journey. Understanding this relationship between distance, speed, and time is fundamental in physics and helps one solve similar problems concerning motion.