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Time and Distance

Rumman Ansari Software Engineer 2024-07-28 09:03:18 149 Share
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Table of Content:

Time and Distance Formulas
Basic Formulas
Speed
Distance
Time
Conversions
Speed in km/hr to m/s
Speed in m/s to km/hr
Relative Speed
Same Direction
Opposite Direction
Time to Meet
Time to Meet (Same Direction)
Time to Meet (Opposite Direction)
Average Speed
Examples
Example 1: Finding Speed
Example 2: Finding Time
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Time and Distance Formulas

Basic Formulas

Speed

Speed = \frac{Distance}{Time}

Distance

Distance = Speed \times Time

Time

Time = \frac{Distance}{Speed}

Conversions

Speed in km/hr to m/s

Speed (m/s) = Speed (km/hr) \times \frac{5}{18}

Speed in m/s to km/hr

Speed (km/hr) = Speed (m/s) \times \frac{18}{5}

Relative Speed

Same Direction

Relative Speed = {Speed}_{1} - {Speed}_{2}

Opposite Direction

Relative Speed = {Speed}_{1} + {Speed}_{2}

Time to Meet

Time to Meet (Same Direction)

Time = \frac{Distance}{Relative Speed}

Time to Meet (Opposite Direction)

Time = \frac{Distance}{Relative Speed}

Average Speed

When the same distance is traveled at different speeds:

Average Speed = \frac{2 \times {Speed}_{1} \times {Speed}_{2}}{{Speed}_{1} + {Speed}_{2}}

Examples

Example 1: Finding Speed

If a car travels 150 km in 3 hours, what is its speed?

Speed = \frac{150 km}{3 hours} = 50 km/hr

Example 2: Finding Time

If a person walks at a speed of 5 km/hr for 10 km, how long does it take?

Time = \frac{10 km}{5 km/hr} = 2 hours

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