Question

Two motorcyclist A and B, started simultaneously moving towards each other. From the graph given below, find the distance each of them covered, time before they meet, and the average speed of motorcyclists. (See graph)

Answer 1

Distance Covered by Motorcyclist A = 400 kilometers

Distance Covered by Motorcyclist B = 300 Kilometers

Time before they met = 5 hours

Average Speed of Motorcycle A = 80 kilometers per hour

Average Speed of Motorcycle B = 60 kilometers per hour

Explanation:

At point t = 5 and d = 300 is their meeting point.

Distance Covered by Motorcyclist A = from 700 to 300 (meeting point), that is 700 - 300 = 400 kilometers

Distance Covered by Motorcyclist B = from 0 to 300 (meeting point), that is 300 - 0 = 300 kilometers

The time before they met went for 5 hours as shown in graph.

Average speed of each motorcycle is given by the slope of the line. We can figure this out easily. We have to find distance traveled per hour.

Average Speed of Motorcycle A = it went 400 km in 5 hours, so 400/5 = 80 kilometers per hour

Average Speed of Motorcycle B = it went 300 km in 5 hours, so 300/5 = 60 kilometers per hour