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