A runner is 22 km east and 15 km south of his starting point, how long would it take him to return to his starting point in a direct Line if he can run at 10 km per hour?
When starting the return, the straight-line distance from the starting point is:
sqrt[(22)^2 +(15)^2] = 26.63 km
Divide that by the speed for the time required, and you get
2.663 hours, whiich is 2 hours, 40 minutes
Thank you :)
To find out how long it would take for the runner to return to his starting point in a direct line, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this scenario, the runner is 22 km east and 15 km south of his starting point. So his starting point can be considered as (0, 0), and his current position is (22, -15).
Using the distance formula:
Distance = sqrt((22 - 0)^2 + (-15 - 0)^2)
= sqrt(22^2 + (-15)^2)
= sqrt(484 + 225)
= sqrt(709)
≈ 26.63 km
Since the runner can run at a speed of 10 km per hour, we can calculate the time it would take for him to return by dividing the distance by his speed:
Time = Distance / Speed
= 26.63 km / 10 km/hr
≈ 2.663 hours
Therefore, it would take approximately 2.663 hours for the runner to return to his starting point in a direct line.