Question

on a trip of 2300 miles , a missionary went 9 times as far by plane as by car . how far did the missionary travel by plane

Answer 1

Answer:

The missionary traveled 2070 miles by plane.

Step-by-step explanation:

Let the distance the missionary traveled by car be x miles and the distance traveled by plane be y miles. Since the total distance traveled is 2300 miles,

$x+y=2300$

It is also given that the distance traveled by plane (y) is 9 times as the distance traveled by car (x). That is,

$y=9x$

Substituting this value of y in the first equation,

$\begin{aligned}x+9x=2300\\10x=2300\end{aligned}$

       $\begin{aligned}x=\frac{2300}{10}\end{aligned}$

       $x=230$

Hence distance traveled by car is 230 miles.

Now, from the second equation,

$\begin{aligned}y=9\times 230\\y=2070\end{aligned}$

Therefore the distance traveled by plane is 2070 miles.