How long will it take a vehicle traveling at 40 mph to pass another vehicle going 30 mph?

To determine how long it takes a vehicle traveling at 40 mph to pass another vehicle going 30 mph, we first need to calculate the relative speed between the two vehicles. The relative speed is the difference in their speeds since they are moving in the same direction.

When one vehicle is moving at 40 mph and the other at 30 mph, the relative speed is 40 mph - 30 mph, which equals 10 mph. This means that, effectively, the first vehicle is closing the gap between them at a speed of 10 mph.

Next, to calculate the time it takes to pass, we need to know the length of the vehicle being passed. A standard car is usually about 15 feet long. To convert the relative speed from miles per hour to feet per second, we can use the conversion factor that 1 mile equals 5280 feet and 1 hour equals 3600 seconds. Therefore, 10 mph can be converted as follows:

10 mph × (5280 feet/mile) / (3600 seconds/hour) = approximately 14.67 feet/second.

Now, we can calculate the time it takes to pass the other vehicle by dividing the length of the vehicle by the relative speed:

Time