Final answer:
To calculate the time for the fourth race given the average time and the times of the first three races, you set up an equation using the formula for average and then solve for the unknown value. The time for the fourth race is found to be 9.8 seconds.
Step-by-step explanation:
To find the time for the fourth race when the average time for the four races was 10.2 seconds, and the times for the first three races were 10.1, 10.6, and 10.3 seconds, you need to use the formula for average:
Average = (Sum of all values) / (Number of values)
We can set up the equation as follows:
10.2 = (10.1 + 10.6 + 10.3 + Time of the fourth race) / 4
Multiplying both sides by 4 to solve for the time of the fourth race:
40.8 = 10.1 + 10.6 + 10.3 + Time of the fourth race
Now, add up the times of the first three races:
10.1 + 10.6 + 10.3 = 31.0
Subtract the sum of the first three races from the total sum to find the time for the fourth race:
40.8 - 31.0 = Time of the fourth race
Therefore, the time for the fourth race is 9.8 seconds.