Question

Each day a runner trains for a 10km race. On the fisrt day she runs 1000m, and then increases the distance by 250m on each subsequent day.

a) On which day does she run a distance of 10km in training?

b) What is the total distance she will have run in training by the end of that day?

Answer 1

The runner will run a distance of 10km on the 36th day, and the total distance she will have run by the end of that day is 145km.

Step-by-step explanation:

To determine the day on which the runner will run a distance of 10km in training, we can set up an equation:

1000 + 250n = 10000

Solving for n, we find that n = 36. Therefore, the runner will run a distance of 10km on the 36th day.

To calculate the total distance she will have run in training by the end of that day, we can use the formula for the sum of an arithmetic series:

Sn = (n/2) * (2a + (n-1)d)

In this case, a = 1000m, d = 250m, and n = 36. Plugging in these values, we find that the total distance she will have run is 145,000m or 145km.

Answer 2

I think the answer is b