Chapter 1.4, Problem 25SSC

To determine

To Predict: The travel time.

Answer to Problem 25SSC

The travel time for 1 km is 0.54 minutes or 32.72 seconds.

Explanation of Solution

Given:

Speed ( v ) = 110 km/h

Formula used:

  $v=\frac{\text{distance}}{\text{time}}$

Calculation:

The speed is defined as it is the ratio of distance to the time.

1 km = 1000 m

1 hour = 60 minutes.

1 minute = 60 seconds.

The given speed is 110 km/hr, which means it covers 110 km in an hour or 60 minutes or 3600 seconds.

So, 1 km can be covered in 0.54 minutes

And 1 km will be covered in 32.72 seconds.

Also,

  $\begin{array}{l}v=110\text{ m/s}\\ v=110\times \frac{1000}{60}\text{ m/min}\text{.}\\ v=1833.34\text{ m/min}.\end{array}$

This means it covers 1833 meters in a minute.

  $\begin{array}{l}v=110\times \frac{1000}{60\times 60}\text{ m/s}\text{.}\\ v=30.55\text{ m/s}.\end{array}$

This means it covers 30.55 meters in a second.

Conclusion:  The travel time is calculated concerning the distance covered in a period.