A map uses 5cm to mean 24 miles. How many miles matches 13cm?

62.4 miles

Step-by-step explanation:

The way to determine this is to set up a proportion,

5 cm/24 miles = 13 cm/x miles,

and then solve for x by cross multiplying,

5*x = 24*13.

If you don't understand that step, try writing it out on paper with fractions instead of division signs. Next, solve.

x = 62.4