Race Time Predictor worksheet

1. Predicted finish time: 4:48:53

1. Convert the known race time to seconds

   $0\text{h}52\text{min}0\text{s}$$=\mathrm{3,120}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{50}{9}$$=5.555556$

3. Raise that to the power 1. This adds a bit of time, since you slow down in long races

   ${5.555556}^1$$=5.555556$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{3,120}\text{\hspace{0.17em}s}\times 5.555556$$=\mathrm{17,333.3}\text{\hspace{0.17em}s}$$=\text{4:48:53}$

2. Predicted finish time: 4:00:30

1. Convert the known race time to seconds

   $0\text{h}40\text{min}0\text{s}$$=\mathrm{2,400}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{42}{10}$$=4.2$

3. Raise that to the power 1.25. This adds a bit of time, since you slow down in long races

   ${4.2}^{1.25}$$=6.01259$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{2,400}\text{\hspace{0.17em}s}\times 6.01259$$=\mathrm{14,430.2}\text{\hspace{0.17em}s}$$=\text{4:00:30}$

3. Predicted finish time: 4:33:34

1. Convert the known race time to seconds

   $0\text{h}45\text{min}0\text{s}$$=\mathrm{2,700}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{54}{12}$$=4.5$

3. Raise that to the power 1.2. This adds a bit of time, since you slow down in long races

   ${4.5}^{1.2}$$=6.07932$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{2,700}\text{\hspace{0.17em}s}\times 6.07932$$=\mathrm{16,414.2}\text{\hspace{0.17em}s}$$=\text{4:33:34}$

4. Predicted finish time: 7:05:34

1. Convert the known race time to seconds

   $0\text{h}54\text{min}0\text{s}$$=\mathrm{3,240}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{50}{7}$$=7.142857$

3. Raise that to the power 1.05. This adds a bit of time, since you slow down in long races

   ${7.142857}^{1.05}$$=7.880714$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{3,240}\text{\hspace{0.17em}s}\times 7.880714$$=\mathrm{25,533.5}\text{\hspace{0.17em}s}$$=\text{7:05:34}$

5. Predicted finish time: 9:36:47

1. Convert the known race time to seconds

   $1\text{h}52\text{min}0\text{s}$$=\mathrm{6,720}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{37.5}{10}$$=3.75$

3. Raise that to the power 1.24. This adds a bit of time, since you slow down in long races

   ${3.75}^{1.24}$$=5.1499$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{6,720}\text{\hspace{0.17em}s}\times 5.1499$$=\mathrm{34,607.3}\text{\hspace{0.17em}s}$$=\text{9:36:47}$

6. Predicted finish time: 8:19:48

1. Convert the known race time to seconds

   $1\text{h}44\text{min}0\text{s}$$=\mathrm{6,240}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{50}{12}$$=4.166667$

3. Raise that to the power 1.1. This adds a bit of time, since you slow down in long races

   ${4.166667}^{1.1}$$=4.805821$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{6,240}\text{\hspace{0.17em}s}\times 4.805821$$=\mathrm{29,988.3}\text{\hspace{0.17em}s}$$=\text{8:19:48}$

7. Predicted finish time: 4:35:31

1. Convert the known race time to seconds

   $0\text{h}34\text{min}0\text{s}$$=\mathrm{2,040}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{40}{8}$$=5$

3. Raise that to the power 1.3. This adds a bit of time, since you slow down in long races

   $5^{1.3}$$=8.103283$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{2,040}\text{\hspace{0.17em}s}\times 8.103283$$=\mathrm{16,530.7}\text{\hspace{0.17em}s}$$=\text{4:35:31}$

8. Predicted finish time: 4:54:09

1. Convert the known race time to seconds

   $0\text{h}52\text{min}0\text{s}$$=\mathrm{3,120}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{40}{10}$$=4$

3. Raise that to the power 1.25. This adds a bit of time, since you slow down in long races

   $4^{1.25}$$=5.656854$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{3,120}\text{\hspace{0.17em}s}\times 5.656854$$=\mathrm{17,649.4}\text{\hspace{0.17em}s}$$=\text{4:54:09}$

9. Predicted finish time: 5:14:13

1. Convert the known race time to seconds

   $0\text{h}47\text{min}0\text{s}$$=\mathrm{2,820}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{45}{8}$$=5.625$

3. Raise that to the power 1.1. This adds a bit of time, since you slow down in long races

   ${5.625}^{1.1}$$=6.685514$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{2,820}\text{\hspace{0.17em}s}\times 6.685514$$=\mathrm{18,853.1}\text{\hspace{0.17em}s}$$=\text{5:14:13}$

10. Predicted finish time: 44:20:26

1. Convert the known race time to seconds

   $2\text{h}49\text{min}0\text{s}$$=\mathrm{10,140}\text{\hspace{0.17em}s}$

2. Divide the new distance by the old one to see how many times longer it is

   $\frac{50}{6}$$=8.333333$

3. Raise that to the power 1.3. This adds a bit of time, since you slow down in long races

   ${8.333333}^{1.3}$$=15.742162$

4. Multiply your old time by that number to get your new time, shown as hours, minutes and seconds

   $\mathrm{10,140}\text{\hspace{0.17em}s}\times 15.742162$$=\mathrm{159,625.5}\text{\hspace{0.17em}s}$$=\text{44:20:26}$