Question

a travels first half of the distance at 50m /s and half at 75m/s.the total distance traveled is 3km. fine the average speed of the travel of the entire journey​

Answer 1

Answer :-

Given :

• $\sf v_1 = 50 m/s$
• $\sf v_2 = 75 m/s$

$\sf v_1$ is the speed of 1st half

$\sf v_2$ is the speed of 2nd half

To find :

Average speed

Formula used :

• $\boxed{\bf\red{V_{avg} = \frac{2v_1 v_2}{v_1 + v_2}}}$

Solution :

• $\sf v_1 = 50 m/s$
• $\sf v_2 = 75 m/s$

Substituting the value in formula

$\implies\sf V_{avg} = \frac{2v_1 v_2}{v_1 + v_2}$

$\implies\sf V_{avg} = \frac{2 \times 50 \times 75}{50 + 75}$

$\implies\sf V_{avg} = \frac{7500}{125}$

$\implies\sf V_{avg} = 60 m/s$