Question

Helen has a 4 kilometer-head start on París how long will it take París to catch Helen if helen travels at 6 kilometers per hour and París traveled at 8 km per hour

Answer 1

Assume "h" = number of hours traveled

Helen's speed = 6km per hour and is 4km advanced than Paris

Paris' speed = 8km per hour

Therefore, we can form the following equations:

a. Helen's distance traveled = 4km + 6km (h) = 4 + 6h

b. Paris' distance traveled = 8km (h) = 8h

For us to determine how long will Paris be able to catch Helen, we'll have to assume they have traveled the same distance. In this case:

Helen's distance traveled = Paris' distance traveled

`\begin{gathered} 4+6h=8h \\ \text{Subtrach 6h on both sides of the equation.} \\ 4+6h-6h=8h-6h \\ 4=2h \\ \text{Divide two on both sides.} \\ (4)/(2)=(2h)/(2) \\ 2=h \end{gathered}`

Therefore, it will take 2 hours for Paris to catch up with Helen which is at 16km.