# A motorcycle is moving at a constant speed of 40 km/h

## Question

A motorcycle is moving at a constant speed of 40 km/h. How long does it take for the motorcycle to travel a distance of 10 km?

The final answer is: it will take the motorcycle 0.4 hours (24 seconds) to travel a distance of 10 kilometres.

## Explanation

### Solution 1: Simple Method

Average speed (s) = 40 km/h, Distance (x) = 10 km, The formula is t = x / s

Therefore, t = (10 km) / (40 km/h) = 0.4 h = 0.4 x 60 s = 24 seconds

### Solution 2: Detail Explanation

Data: The information from the question

We have:

Average speed (s) = 40 kilometer per hour

Distance covered (x) = 10 kilometers

Unknown: The information we need to find from the question

Time taken (t) = ?

Formula: The equation that will help us solve the problem

We know that the equation for average speed = Distance / time

And the symbol for average speed is s, distance is x, and time is t.

Therefore, we can now write the equation as s = x / t

Since we are looking for t, we will now make it a subject of the formula by simplifying the above equation to obtain:

t = x / s [This is the equation that will help us solve the problem]

Solving the problem

We will substitute our data into the above formula (t = x /s)

t = x / s = 10 / 40

We will now have t = 0.4 h [Dont forget that (km) / (km/h) = 1 / (1/h) = 1 x h = h]

By converting the above time from hours to seconds, we will obtain

Time (t) = 0.4 x 60 seconds = 24 seconds.

Therefore, the motorcycle will spend 24 seconds (0.4 hours) to cover a distance of 10 km.

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