Monique and Jackie start at the same spot and run in the same direction around a quarter mile track. Monique runs at a speed of 14mph, Jackie runs at a speed of 16mph . how long will it take for Jackie to laps monique? (Jackie runs 1 more lap than monique?)

The speed difference is 2 mph

The time it takes to run an extra 1/4 mile is thus 1/8 hour

check:
In 1/8 hour M runs 14/8 = 7/4 mi
J runs 16/8 = 2 mi, or one extra lap

To find out how long it will take for Jackie to lap Monique, we need to determine the difference in their speeds, as well as the difference in the distance they cover per lap.

First, let's find out how long it takes Monique to complete one lap. Since the distance of one lap is a quarter mile, and Monique runs at a speed of 14 mph, we can calculate how long it takes her to run a single lap by dividing the distance by the speed:

Time for Monique to complete one lap = Distance / Speed
Time for Monique to complete one lap = 0.25 mile / 14 mph = 0.0179 hours

Since Jackie runs 1 more lap than Monique, we can assume that Monique starts running before Jackie. Therefore, we only need to find out how long it takes Jackie to complete 2 laps (1 lap to catch up to Monique and 1 more lap than Monique).

The time it takes Jackie to complete 2 laps is calculated similarly:

Time for Jackie to complete two laps = 2 * (Distance / Speed)
Time for Jackie to complete two laps = 2 * (0.25 mile / 16 mph) = 0.0313 hours

Therefore, it will take Jackie approximately 0.0313 hours, or 1.88 minutes, to lap Monique.