Question

Two people start walking at the same time in the same direction. One person walks at 2 mph and the other person walks at 6 mph. In how many hours will they be 2 mile(s) apart?

Answer 1

Let's define the following variable:

t = number of hours for them to be 2 miles apart

Distance covered by Person A after "t"hours would be 2t or 2 miles times "t" hours.

Distance covered by Person B after "t" hours would be 6t or 6 miles times "t" hours.

If the distance of Person A and B is 2 miles apart after "t" hours, we can say that:

`\begin{gathered} \text{Person B}-PersonA=2miles \\ 6t-2t=2miles\text{ } \end{gathered}`

From that equation, we can solve for t.

`\begin{gathered} 6t-2t=2miles\text{ } \\ 4t=2miles\text{ } \\ \text{Divide both sides by 4.} \\ t=0.5hrs \end{gathered}`

Therefore, at t = 0.5 hours or 30 minutes, the two persons 2 miles apart.

At 0.5 hours, Person A will