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Often calculating speed or average velocity is simply using the formula speed=distancetime{displaystyle {text{velocity}}={frac {text{distance}}{text{time}}}} . But sometimes, you are given two different velocities for different periods of time or over different distances. For these cases, another formula is used to calculate the average velocity. Such types of problems can be useful in real life and often appear on standardized tests. Therefore, it will be very beneficial to learn these formulas and methods.
Steps
Calculate average speed given distance and time
- total distance traveled by a person or vehicle; and
- the total time it takes the person or vehicle to cover that distance.
- Example: An travels 240 km in 3 hours, what is An’s average speed?
- For example, if An drove a total of 240 km, your formula would be: S=240t{displaystyle S={frac {240}{t}}} .
- For example, if An ran for 3 hours, your formula would be: S=2403{displaystyle S={frac {240}{3}}} .
- For example:
S=2403{displaystyle S={frac {240}{3}}}
S=80{displaystyle S=80}
So, if An travels 240 km in 3 hours, his average speed will be 80 km per hour.
Calculate average speed when knowing multiple distances and corresponding time intervals
- many distances traveled; and
- the amount of time it takes to travel each of those distances. [2] X Research Source
- For example: An traveled 240 km in 3 hours, 190 km in 2 hours and 110 km in 1 hour, what is An’s average speed for the whole trip?
- For example, An traveled 240 km, 190 km, and 110 km, so you would determine the total distance by adding these three distances together: 240+190+110=540{displaystyle 240+190+110=540} . The formula will become: S=340t{displaystyle S={frac {340}{t}}} .
- For example, since An traveled for 3 hours, 2 hours, and 1 hour, we would determine the total time by adding these three time parameters together: 3+2+first=6{displaystyle 3+2+1=6} . So, the formula now will be: S=5406{displaystyle S={frac {540}{6}}} .
- For example:
S=5406{displaystyle S={frac {540}{6}}}
S=90{displaystyle S=90} . So if you travel 240 km in 3 hours, 190 km in 2 hours and 110 km in 1 hour, then An’s average speed is 90 km/h.
Calculate average velocity when knowing multiple velocities with corresponding time intervals
- the speeds used by people or vehicles when moving; and
- time using each of those speeds. [4] X Research Sources
- Example: An moves at 80 km/h in 3 hours, 95 km/h in 2 hours and 110 km/h in 1 hour. What is An’s average speed for the entire journey?
- For example:
80 km/h for 3 hours = 80×3=240kilometer{displaystyle 80times 3=240{text{km}}}
95 km/h for 2 hours = 95×2=190kilometer{displaystyle 95times 2=190{text{km}}}
110 km/h for 1 hour = 110×first=110kilometer{displaystyle 110times 1=110{text{km}}}
So the total distance traveled is 240+190+110=540kilometer.{displaystyle 240+190+110=540{text{km}}.} The formula will look like this: S=540t{displaystyle S={frac {540}{t}}} .
- For example, since An traveled for 3 hours, 2 hours, and 1 hour, you would determine the total time by adding these three time values together: 3+2+first=6{displaystyle 3+2+1=6} . So the formula becomes: S=3406{displaystyle S={frac {340}{6}}} .
- For example:
S=5406{displaystyle S={frac {540}{6}}}
S=90{displaystyle S=90} . So if traveling at 80 km/h in 3 hours, 95 km/h in 2 hours and 110 km/h in 1 hour, then An’s average speed is 90 km/h.
Find the average speed when two velocities are traveling in equal time
- two or more different velocities; and
- those velocities are used at equal intervals of time.
- For example, if traveling 65 km/h in 2 hours and 95 km/h in another 2 hours, what is An’s average speed for the whole trip?
- In these cards, it doesn’t matter how long each velocity is used, as long as they are used for half the travel time.
- You can adjust the formula when you know three or more velocities and these velocities are used at equal intervals. Such as, S=a+b+c3{displaystyle s={frac {a+b+c}{3}}} nice S=a+b+c+d4{displaystyle s={frac {a+b+c+d}{4}}} . As long as each velocity is used at equal intervals, your formula can follow this pattern.
- For example, if the initial speed is 65 km/h and the second speed is 95 km/h, your formula would be: S=65+952{displaystyle s={frac {65+95}{2}}} .
- For example:
S=65+952{displaystyle s={frac {65+95}{2}}}
S=1602{displaystyle s={frac {160}{2}}}
S=80{displaystyle s=80}
So if you move 65 km/h in 2 hours and then 95 km/h in 2 hours, An’s average speed is 80 km/h.
Find the average speed when the two velocities travel the same distance
- two different velocities; and
- they are used for equal distances.
- For example, if you drive 260 km to the water park at 65 km/h and come back 260 km at 95 km/h, what is the average speed of An’s entire trip?
- The problem that requires this method often involves the question of a round trip.
- In these types of cards, it doesn’t matter how far each speed is used, as long as they are used for half the distance.
- You can adjust the formula knowing the three speeds are used for equal distances. Such asS=3abcab+bc+ca{displaystyle s={frac {3abc}{ab+bc+ca}}} . [8] X Research Sources
- For example, if the initial speed is 65 km/h and the latter is 95 km/h, the formula would be: S=(2)(65)(95)65+95{displaystyle s={frac {(2)(65)(95)}{65+95}}} .
- For example:
S=(2)(65)(95)65+95{displaystyle s={frac {(2)(65)(95)}{65+95}}}
S=1235065+95{displaystyle s={frac {12350}{65+95}}} .
- For example:
S=1235065+95{displaystyle s={frac {12350}{65+95}}}
S=12350160{displaystyle s={frac {12350}{160}}} .
- For example:
S=12350160{displaystyle s={frac {12350}{160}}}
S=77,1875{displaystyle s=77,1875} . So if you drive 65 km/h for 260 km to get to the water park and then run back 260 km at a speed of 95 km/h, An’s average speed for the whole trip will be approximately 77 km/h.
This article is co-authored by a team of editors and trained researchers who confirm the accuracy and completeness of the article.
The wikiHow Content Management team carefully monitors the work of editors to ensure that every article is up to a high standard of quality.
This article has been viewed 10,988 times.
Often calculating speed or average velocity is simply using the formula speed=distancetime{displaystyle {text{velocity}}={frac {text{distance}}{text{time}}}} . But sometimes, you are given two different velocities for different periods of time or over different distances. For these cases, another formula is used to calculate the average velocity. Such types of problems can be useful in real life and often appear on standardized tests. Therefore, it will be very beneficial to learn these formulas and methods.
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