Uniform Motion Related Problem
Two cars starting from the same point travel in opposite directions. Car A travels at 80 kph and car B at 110 kph. After how many hours will the cars be 760 km apart?
A = -80 km/h(West).
B = 110 km/h(East).
110T - (-80T) = 760 km
110T + 80T = 760
190T = 760
T = 4 h.
To solve this problem, we can use the concept of relative speed.
The relative speed between the two cars is the sum of their individual speeds since they are moving in opposite directions. In this case, the relative speed between the two cars is calculated as:
Relative Speed = Speed of Car A + Speed of Car B
Relative Speed = 80 kph + 110 kph = 190 kph
The distance between the two cars is given as 760 km. To find the time it takes for the cars to be 760 km apart, we can use the formula:
Time = Distance / Relative Speed
Time = 760 km / 190 kph = 4 hours
Therefore, the two cars will be 760 km apart after 4 hours.