I have a question. Is it possible to calculate the length of a road between two towns. If we know when two vehicles travelling back and forth between the towns pass each other ?
Also one vehicle is faster than the other one. Just need a hint or idea how to solve this
r * t = d
you have the rates and time for the vehicles
the sum of their distances is the distance between towns
To calculate the length of a road between two towns based on the time it takes for two vehicles traveling back and forth to pass each other, you can use a simple mathematical formula:
1. Start by measuring the time it takes for the two vehicles to pass each other. Let's call this time "t".
2. Determine the speeds of the two vehicles. Let's call them "v1" and "v2", where v1 is the faster vehicle and v2 is the slower vehicle.
3. Since the vehicles are traveling back and forth between the towns, we can assume that the distance traveled by each vehicle is the same. This means that the distance traveled by the faster vehicle is equal to the distance traveled by the slower vehicle.
4. Using the formula "distance = speed × time", we can set up two equations:
Distance traveled by the faster vehicle = v1 × t
Distance traveled by the slower vehicle = v2 × t
5. Since the distances are equal, we can equate the two equations:
v1 × t = v2 × t
6. Now, solve this equation for "t" to get the time it takes for the vehicles to pass each other:
t = 0 (if v1 = v2, the vehicles will never pass each other)
t = any positive number (if v1 ≠ v2, the vehicles will eventually pass each other)
7. Once you have the value of "t", you can use it to calculate the distance between the two towns. Simply multiply the speed of the slower vehicle with the time:
Distance = v2 × t
By following these steps, you should be able to calculate the length of the road between the two towns based on the time it takes for the vehicles to pass each other.