Rebeca rode her bike 16 miles each day for 30 days michael rode his bike 25 miles for 28 days. who rode farther how much father

M. rode 220 miles further than R.

Step-by-step explanation:

Rebecca rode (16 mi/day)(30 days), or 480 miles.

Michael ode (25 mi/day)(28 days), or 700 miles.

Michael rode further than Rebecca, 220 miles further.

Fast and loose:

If you stare at it for a while, you can see that the LHS is the distance between k and 10. Basically, you've asked to pick k so you get two numbers that are 3 apart from 10. And these two numbers are 7 to the left, and 13 to the right.

Rigorously

Split it in 2 situations, depending if the quantity inside the absolute value is greater or smaller than zero.

If it's greater or equal than zero:

And since 13 is indeed greater than 10, it's a valid solution, so you get the first one. For the second, you assume negative values for the quantity inside, and change sign:

In this case, 7 is a valid solution too since it's less than 10