As per the question the total distance is given as 4 km.
We are asked to calculate the average speed.
The time taken by the body to travel each kilometre are 5.9 min,6.2 min.,6.3min. and 6 min. respectively.
The average speed of a body is defined as the ratio of total distance travelled by the body to the total time.
Mathematically the average speed is written as _
V= Total distance/Total time
i.e V = S/T
Where S is the total distance travelled and T is the total time
Here total distance (S)= 4 km
The total time T= (5.9+6.2 +6.3+ 6.0 )minutes
=24.4 min.
Hence average speed V = 4 km/24.4 min
= 0.16 km/min.
Hence the correct option is A .
The average speed of the runner for the race is approximately 0.16km/min.
Option A) 0.16km/min is the correct answer.
Given the data in the question;
First we calculate the total time spent in the race by the runner.
Total time;
[tex]t_{total} = t_1 + t_2 + t_3 + t_4\\\\t_{total} = 5.9min + 6.2min + 6.3min + 6.0min\\\\t_{total} = 24.4min[/tex]
Next, we determine the average speed.
Speed is the distance traveled per unit of time
That is; Speed = Distance / Time
[tex]s = \frac{d}{t}[/tex]
Hence, In this case, [tex]s = \frac{d}{t_{total}}[/tex]
We substitute our values into the equation
[tex]s = \frac{4.0km}{24.4min}\\\\s = 0.16km/min[/tex]
Therefore, the average speed of the runner for the race is approximately 0.16km/min.
Option A) 0.16km/min is the correct answer.
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