Question

The 250 meters between S's house and the tennis court corresponds to 5 cm on a town map. What is the actual distance between S's school and the library if they are 8.4 cm apart on the same the map?

Answer 1

A biker cycles 9 miles in 2/3 of an hour. What is his average speed in milews per hour?

Answer 2

Since 250 meters corresponds to 5 cm on the map, then 8.4 cm on the map corresponds to 250/5 * 8.4 = 420 meters. Answer: \boxed{420}.

Answer 3

To find the average speed, we divide the total distance traveled by the total time taken. In this case, the biker traveled 9 miles in 2/3 of an hour, which is $\frac{9}{\frac{2}{3}} = 9 \cdot \frac{3}{2} = \boxed{13.5}$ miles per hour.