Question

on a trip of 2,300 miles, a missionary went 9 times as far by plane as by car. How for did the missionary travel by plane

Answer 1

Let the trip by car be c and the trip by plane be p.

The missionary travelled 9 times as far by plane as he did by car. This means if his trip by car is modelled by c, then the trip by plane would be 9c.

Hence, knowing that the entire trip of 2300 miles is by plane and by car;

`\begin{gathered} c+p=2300 \\ \text{When p=9c, then} \\ c+9c=2300 \\ 10c=2300 \\ \text{Divide both sides by 10} \\ c=230 \\ \text{Therefore, his trip by plane would be derived as;} \\ c+p=2300 \\ 230+p=2300 \\ \text{Subtract 230from both sides} \\ p=2070 \end{gathered}`