Question

A car travels with speed 3 m/s for the first half distance of the journey and with speed 6 m/s for the remaining half. What is the average speed of the entire journey?
(1) 6 m/s
(2) 18 m/s
(3) 9 m/s
(4) 4 m/s​

Answer 1

Explanation:

hope this gives u a little hint!!!!

Answer 2

The average speed of the entire journey is 4 m/s.

The given parameters:

• Initial speed of the car, u = 3 m/s
• Final speed of the car, v = 6 m/s

Let the total distance of the journey = d

The time taken for the first half of the journey is calculated as follows;

$t_1= \frac{d}{v_1} = \frac{d}{3}$

The time taken for the second half of the journey is calculated as follows;

$t_2 = \frac{d}{v_2} = \frac{d}{6}$

The average speed of the entire journey is calculated as follows;

$v = \frac{d + d}{t_1 + t_2} \\\\ v = \frac{2d}{d/3 \ + \ d/6} \\\\ v = \frac{2d}{d/2} \\\\ v = \frac{4d}{d} \\\\ v = 4 \ m/s$

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