Question

A car travelled the first third of a distance x at a speed of 10km/h, the second third at a speed of 20km/h and the last third at a speed of 60km/h. Determine the average speed of the car over the entire distance x.

Answer 1

Answer:

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Answer 2

Answer:

The correct answer of this question is  v = 18 km/h

Explanation:

Given - A car travelled the first third of a distance x at a speed of 10km/h, the second third at a speed of 20km/h and the last third at a speed of 60km/h.

To Find - Determine the average speed of the car over the entire distance x.

Now,

$v = \frac{d}{t}$  =  $\frac{d}{t_{1} + t_{2} + t_{3} }$

In the first part of travelling;

10 = $\frac{d}{3t_{1} }$

$t_{1} = \frac{d}{3 . 10}$

In the second part of travelling;

$t_{2} = \frac{d}{3 . 20}$

In the third part of travelling;

$t_{3} = \frac{d}{3 . 60}$

mean speed = v = 18  km/h

Hence,  v = 18 km/h

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