Yuri drove his car to the train station and then traveled six times as far by train to get to work. He traveled a total of 42 miles to work. How far did he drive?

Question

jamesj · Answer

Let x be the distance travelled by car.
Then what is the distance he travelled by train?  Call it y.  What is y as a function of x?

Then solve x + y = 42 for x

anonymous · Answer

these are the answers available???
5 miles
		
6 miles
		
7 miles
		
8 miles

jamesj · Answer

y = distance travelled by train = 6 times distance travelled by car.

If distance travelled by = x, what is y = ...?

anonymous · Answer

I dont get this one

jamesj · Answer

(distance travelled by car) + (distance travelled by train) = 42
x                                       + y                                        = 42

Now we want an equation in one variable, x, the distance travelled by car.

What is distance travelled by train as a function of the distance travelled by car?  What does the problem say?

jamesj · Answer

The problem says he "traveled six times as far by train".  Hence what is y as a function of x?
y = ...what... times x?

anonymous · Answer

idk!!

hang254 · Answer

just look at it as another algerbraic equation

6x=42

jamesj · Answer

He travels six times as far by train.  Hence y = 6x.

Therefore if
x + y = 42
x + 6x = 42

Now solve for x.

jamesj · Answer

@hang254, no, not quite.

hang254 · Answer

but, you would get the same answer....

jamesj · Answer

No 6x = 42, isn't right.

x + 6x = 42
hence
7x = 42

hang254 · Answer

oh well