Michael Johnson holds the olympic record for the mens 400m race at 43 seconds. His personal best for the 300m race is 31. Approximately what is the DIFFERENCE in his two unit rates?
To find the difference in Michael Johnson's two unit rates, we need to calculate the rates for each race.
The unit rate is the rate per unit. In this case, the unit is 1 meter, and the rate is the time it takes to complete the race.
For the 400m race, Michael Johnson's time is 43 seconds. So the unit rate for the 400m race is:
Rate = Time / Distance
Rate = 43 seconds / 400 meters
To calculate this unit rate, divide the time (43 seconds) by the distance (400 meters):
Rate = 43 seconds / 400 meters
Rate ≈ 0.1075 seconds per meter
Now let's calculate the unit rate for the 300m race. Michael Johnson's personal best for this race is 31 seconds:
Rate = Time / Distance
Rate = 31 seconds / 300 meters
Divide the time (31 seconds) by the distance (300 meters) to calculate the unit rate:
Rate = 31 seconds / 300 meters
Rate ≈ 0.1033 seconds per meter
Now we can find the difference in the two unit rates:
Difference = Rate for 400m race minus Rate for 300m race
Difference ≈ 0.1075 seconds per meter - 0.1033 seconds per meter
Calculating the difference:
Difference ≈ 0.0042 seconds per meter
Therefore, the approximate difference in Michael Johnson's two unit rates is 0.0042 seconds per meter.