Runner A is initially 2.4 km west of a flagpole and is running with a constant velocity of 8.4 km/h due east. Runner B is initially 2.2 km east of the flagpole and is running with a constant velocity of 7.4 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross?
Answer: ____ km from the flagpole due (east, west, south or north)
D = 2.2 -(-2.4) = 4.6 km = Distance between runners.
Va*t + Vb*t = 4.6.
8.4t + 7.4t = 4.6
15.8t = 4.6
t = 0.291 Hours.
Da = Va*t = 8.4km/h * 0.291h=2.4444km.=
Dist. ran by runner A.
2.4444-2.400=0.044 km=East of flagpole.
Db = Vb*t = 7.4km/h * 0.291h=2.1534 km.=
Dist. ran by runner B.
2.2000 - 2.1534 = 0.0466 km East of
flagpole.
To find the distance the two runners will be from the flagpole when their paths cross, we can set up a scenario in which the distances traveled by each runner are equal.
Let's assume that it takes t hours for the paths to cross.
Runner A is initially 2.4 km west of the flagpole and is running with a velocity of 8.4 km/h due east. So, the distance covered by Runner A can be calculated as: Distance_A = Velocity_A * time = 8.4 km/h * t.
Runner B is initially 2.2 km east of the flagpole and is running with a velocity of 7.4 km/h due west. So, the distance covered by Runner B can be calculated as: Distance_B = Velocity_B * time = 7.4 km/h * t.
Since both runners will reach the same point when their paths cross, the total distance covered by both runners will be equal to the distance between the flagpole and the crossing point.
Distance_A + Distance_B = Total distance between the flagpole and the crossing point
8.4 km/h * t + 7.4 km/h * t = Total distance
(8.4 + 7.4) km/h * t = Total distance
15.8 km/h * t = Total distance
Now, we need to find the value of t when the paths cross.
To solve for t, we need to know the total distance between the flagpole and the crossing point. However, this information is not provided in the question.
Therefore, we are unable to determine the exact distance of the two runners from the flagpole when their paths cross without knowing the total distance between the flagpole and the crossing point.