Question

Ashlynn started a new training program. On Tuesday, she ran 20% farther than she ran on Monday. On Wednesday, she increased the distance she ran on Tuesday by 10% and ran 6.6 miles. Write and solve an equation (using the algebraic method) to find the number of miles Ashlynn ran on Monday.

Answer 1

Answer:

Let's, take distance she ran on Monday be x.

On Tuesday, she ran 20% farther than she ran on Monday.

Distance ran on Tuesday,

$x + 20\%x \\ = \frac{6}{5} x$

On Wednesday, she increased the distance she ran on Tuesday by 10% and ran 6.6 miles.

$= \frac{6}{5} x +10\% \times \frac{6}{5} x = 6.6 \\ \frac{6}{5} \times \frac{11}{10} x = 6.6 \\ \frac{66}{50} x = 6.6 \\ x = 5 \: miles$

So,

distance she ran on Monday = 5 miles.