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An object travels 16 m in 4 s and then another 16 m in 2 s. What is the average speed of the object?
5.33 m/s
67 m/s
8 m/s
4 m/s
33 m/s
Calculate total distance (16+16=32) and total time (4+2=6) immediately, then divide 32/6 which simplifies to 16/3 or 5.33 m/s.
Distance 1 (d1) = 16 m, Time 1 (t1) = 4 s, Distance 2 (d2) = 16 m, Time 2 (t2) = 2 s.
Average┬аSpeed=TotalTimeTotalDistanceтАЛ=t1тАЛ+t2тАЛd1тАЛ+d2тАЛтАЛ
Calculate total distance (16+16=32) and total time (4+2=6) immediately, then divide 32/6 which simplifies to 16/3 or 5.33 m/s.
Students often make the error of averaging the speeds of the two segments instead of calculating the total distance over total time.
Calculate Total Distance
To find the average speed, we first determine the sum of the distances covered: 16┬аm+16┬аm=32┬аm.
Total┬аDistance=16+16=32┬аm
Calculate Total Time
Next, we find the total time taken for the entire journey: 4┬аs+2┬аs=6┬аs.
Total┬аTime=4+2=6┬аs
Calculate Average Speed
Divide the total distance by the total time to get the average speed: 32/6=16/3тЙИ5.33┬аm/s.
Average┬аSpeed=632тАЛ=5.33┬аm/s
A is correct because the total distance of 32┬аm divided by the total time of 6┬аs yields 5.33┬аm/s.
This principle of 'total over total' applies to calculating average velocity and even average rates in Quantitative Aptitude problems like Work-Time or Profit-Loss averages.
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