Question

Amanda’s Training Continues…..Amanda is training to run a marathon. She must follow a strict schedule to make sure she is ready for the race. She will start training by running two miles the first week. She wants to run one fewer mile the next week, then run three more miles the week after that. She will continue this pattern during her entire training regimen. Question: Amanda needs to run 26 miles in the final week of her training. In which week will Amanda reach her goal?

Answer 1

Based on her on training regiment, Amanda will be able to run 26 miles in the 25th week.

What is the total number of miles Amanda will run every week?

Amanda will run 2 miles in the first week and then 1 less mile in the following week. Then 3 more miles in the week after.

Week 1 - 2 miles

Week 2:

= 2 - 1

= 1 mile

Week 3:

= 1 + 3

= 4 miles

Week 4:

= 4 - 1

= 3 miles

Week 5:

= 3 + 3

= 6 miles

From the given pattern, Amanda increase the number of miles ran by 2 miles every 2 weeks.

The number of miles ran every other week would therefore be:

Week 7 = 8 miles

Week 9 = 10 miles

Week 11 = 12 miles

Week 15 = 16 miles

Week 19 = 20 miles

Week 25 = 26 miles

In conclusion, she would reach her goal in 25 weeks.

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