A person runs 800. m at an average speed of 6.00 m/s and then the next 800. m at an average speed of 8.00 m/s.

Calculate (a) the total time of travel and b) the average speed.

T1 = d1/r1 = 800/6 = 133.3 s.

T2 = d2/r2 = 800/8 = 100 s.

a. T1+T2 = 133.3 + 100 = 233.3 s.=Total
time of travel.

b. r = d/T = 1600m/233.3s = 6.86 m/s.

To calculate the total time of travel and the average speed, we can use the formula:

Time = Distance / Speed

(a) Total time of travel:
To calculate the total time of travel, we need to find the time taken for each segment of the distance and then sum them up.

For the first segment:
Distance = 800 m
Speed = 6.00 m/s
Time1 = Distance / Speed = 800 m / 6.00 m/s

Similarly, for the second segment:
Distance = 800 m
Speed = 8.00 m/s
Time2 = Distance / Speed = 800 m / 8.00 m/s

Total time of travel = Time1 + Time2

(b) Average speed:
Average speed is the total distance divided by the total time.

Total distance = 800 m + 800 m
Total time = Time1 + Time2

Average speed = Total distance / Total time

Now, let's calculate the total time of travel and the average speed:

(a) Total time of travel:
Time1 = 800 m / 6.00 m/s
Time2 = 800 m / 8.00 m/s
Total time of travel = Time1 + Time2

(b) Average speed:
Total distance = 800 m + 800 m
Total time = Time1 + Time2
Average speed = Total distance / Total time

Plug in the numbers into the formulas and perform the calculations to find the answers.