Question

To prepare for a marathon, Henry gets a new pair of running shoes. If Henry runs 20 miles each day in week 1 and adds 12mi to his daily routine each week, what is the total mileage on Henry's shoes after 5 weeks?

Answer 1

Henry will have run a total of 1540 miles on his new running shoes after 5 weeks.

Step-by-step explanation:

To find the total mileage on Henry's shoes after 5 weeks, we need to calculate the distance he runs each week and add them up.

In week 1, Henry runs 20 miles per day, so the total distance he runs in week 1 is 20 miles * 7 days = 140 miles.

In week 2, he adds 12 miles to his daily routine, so he runs 20 miles + 12 miles = 32 miles per day. The total distance he runs in week 2 is 32 miles * 7 days = 224 miles.

We can continue this pattern for the remaining weeks:

Week 3: 44 miles per day, total distance = 44 miles * 7 days = 308 miles

Week 4: 56 miles per day, total distance = 56 miles * 7 days = 392 miles

Week 5: 68 miles per day, total distance = 68 miles * 7 days = 476 miles

The total mileage on Henry's shoes after 5 weeks is the sum of the total distances in each week: 140 + 224 + 308 + 392 + 476 = 1540 miles.