Question

two in-line skaters, nell and kristin, start from the same point and skate in the same direction. nell skates at 10 miles per hour and kristin skates at 12 miles per hour. if they can keep up the pace for 3.5 hours, how far apart with the ne ar the end of that time

Answer 1

7 miles

Explanation:

You want to know how far apart two skaters are after 3.5 hours when they start together and one is traveling 10 mph while the other is traveling 12 mph in the same direction.

Distance

The relation between time, speed, and distance is ...

distance = speed × time

For this problem, the relevant speed is the speed of separation of the two skaters. That is the difference of their speeds: 12 mph -10 mph = 2 mph. Then their separation distance after 3.5 hours is ...

distance apart = (2 mi/h) × (3.5 h) = 7 mi

Nell and Kristin will be 7 miles at the end of 3.5 hours.