Question

Bob rides his bike from his house to a friend's house. After riding 16 miles, he realizes he has traveled 4/5 of the way. How far is Bob's house from his friends house?

Answer 1

20 miles

Step-by-step explanation

We have that Bob rides his bike to his firiend's house.

He rode 16 miles and that was 4/5 of the way.

Let the total distance from Bob's house to his friend's house be x.

This means that:

`\begin{gathered} (4)/(5)\cdot\text{ x = 16} \\ \text{Solve for x:} \\ (4x)/(5)\text{ = 16} \\ \text{Cross multiply:} \\ 4x\text{ = 5 }\cdot\text{ 16 = 80} \\ x\text{ = }(80)/(4) \\ x\text{ = 20 miles} \end{gathered}`

Bob's house is 20 miles from his friend's house.