# Application of speed, distance and time

Last updated: September 21, 2021

## Application of speed, distance and time problems

Speed, distance and time problems are interesting because they often describe simple situations which people confuse with the wrong formulas. It is also important that in these types of questions, the objects move at constant or average speeds in speed, distance and time scenarios.

## E1.11: Calculate average speed

Speed ​​is directly related to two other variables: Distance and time. Speed ​​is distance divided by time, expressed as follows:

$$\text{Speed (m/s)}=\frac{\text{distance (m)}}{\text{time(s)}}$$ The time relationship with the other two variables, which divide the distance by the speed. Its expression is as follows:

$$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$$

Speed is beside time. So, there is no doubt that distance is speed multiplied by time.

### Worked examples

Example 1: Albert and Danny participate in a long distances race. Albert runs at $$6\text{miles per hour}$$, while Danny runs at $$5\text{miles per hour}$$. They run at a constant speed throughout the race when Danny reaches $$25\text{miles}$$. Albert is exactly $$40\text{minutes}$$ away from finishing. What is the distance in miles?

Step 1: Write the given values.

The distance is $$25\text{miles}$$, and the speed is $$5\text{miles per hour}$$.

Step 2: Recall the formula for the time.

$$\text{Time}=\frac{\text{distance}}{\text{speed}}$$

Step 3: Substitute the values in the formula.