Question

Hakim and Frank just finished a picnic at the park and are about to ride their bikes home. Hakim goes 14 miles per hour, and Frank goes 11 miles per hour in precisely the opposite direction. In how long will they be 6 miles apart?

Answer 1

Therefore, it will take them 6/25 hours (or approximately 0.24 hours) to be 6 miles apart.

Explanation:

To determine how long it will take for Hakim and Frank to be 6 miles apart, we can use the concept of relative velocity. Since they are moving in opposite directions, their relative velocity is the sum of their individual velocities.

Let's assume that t represents the time it takes for them to be 6 miles apart. During this time, Hakim would have traveled a distance of 14t miles, while Frank would have traveled a distance of 11t miles. Since they are moving in opposite directions, the sum of their distances should equal 6 miles:

14t + 11t = 6

Combining like terms:

25t = 6

Dividing both sides by 25:

t = 6/25

Therefore, it will take them 6/25 hours (or approximately 0.24 hours) to be 6 miles apart.