A runner tries to keep a consistent stride length in a marathon. But, the length will change during the race. A runner has a stride length of 5 feet for the first half of the race and a stride length of 4.5 feet for the second half.
1.) A marathon is 26 miles 385 yards long. That is about 1.4 × 105 feet. How many feet long is half a marathon?
2.) How many strides would it take to finish the first half of the marathon?
3.) How many strides would it take to finish the second half of the marathon?
4.) How many strides would it take the runner to complete marathon? Express your answer in both scientific notation and standard notation.
0.7
I just did this when he/she was Toni
https://www.jiskha.com/display.cgi?id=1509060669
Don't know what the big deal is with scientific notation, the numbers are relatively small, no need for SN.
How many strides it would take to finish the first half of the marathon
How many strides would it take to finish the half of the marathon
How many strands would it take to finish the first half of the marathon
To answer these questions, we need to determine the length of half a marathon and then calculate the number of strides needed to cover that distance in the first half and the second half.
1.) To find the length of half a marathon, we divide the length of the marathon by 2:
Length of half a marathon = 1.4 × 105 / 2 = 7 × 104 feet.
2.) To find the number of strides needed to finish the first half of the marathon, we divide the length of half a marathon by the stride length for the first half:
Number of strides for first half = Length of half a marathon / Stride length for first half = 7 × 104 / 5 = 1.4 × 104 strides.
3.) Similarly, to find the number of strides needed to finish the second half of the marathon, we divide the length of half a marathon by the stride length for the second half:
Number of strides for second half = Length of half a marathon / Stride length for second half = 7 × 104 / 4.5 = 1.5556 × 104 strides (rounded to 4 decimal places).
4.) To find the total number of strides needed to complete the marathon, we add the number of strides for the first half and the second half:
Total number of strides = Number of strides for first half + Number of strides for second half = 1.4 × 104 + 1.5556 × 104 = 2.9556 × 104 strides.
In scientific notation, the total number of strides is 2.9556 × 104 strides.
In standard notation, the total number of strides is approximately 29,556 strides.