Calculate Car Speed: Step-by-Step Solution
This solution explains how to calculate the speed of a car given the distance covered and the time taken.
Given Information
- Distance ($d$) = 600 m
- Time ($t$) = 5 min
Convert Time Units
First, convert the time from minutes to seconds to match standard physics units.
- $t = 5 \text{ min} \times 60 \frac{\text{s}}{\text{min}} = 300 \text{ s}$
Calculate Speed in Meters per Second (m/s)
Use the formula for speed: Speed = Distance / Time.
- $s = \frac{d}{t}$
- $s = \frac{600 \text{ m}}{300 \text{ s}}$
- $s = 2 \text{ m/s}$
Convert Speed to Kilometers per Hour (km/h)
Convert the speed from m/s to km/h using the conversion factor $\frac{18}{5}$.
- $s_{\text{km/h}} = s_{\text{m/s}} \times \frac{18}{5}$
- $s_{\text{km/h}} = 2 \times \frac{18}{5}$
- $s_{\text{km/h}} = \frac{36}{5}$
- $s_{\text{km/h}} = 7.2 \text{ km/h}$
Therefore, the speed of the car is 7.2 km/h.
Similar Questions
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Important Questions from Speed Time and Distance
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.
A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?
An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:
A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?
