Math word problem help?

Question

While planning a hiking trip, you examine a map of the trail you are going on hike. The scale on the map shows that 2 inches represents 3 miles.

If the trail measures 6 inches on the map, how long is the trail?
A.)6 Miles
B.)18 miles
C.)36 miles
D.)9 miles

geezer · Answer

2 inches is 3 miles
so 6 inches is ? miles.

2 inches x 3 = 6 inches
so multiply the 3 miles by 3 as well.

9 miles

Const. King · Answer

D. 9 miles

Just Me · Answer

D) 9 Miles

Como · Answer

- :- 2 ins<-------------> 3 miles 6 ins <------------> 9 miles________Option D

? · Answer

D).  9 miles

TomV · Answer

2 inches = 3 miles
6 inches = ? miles

6/2 = ?/3
? = 3*6/2 = 18/2
? = 9 miles

Puzzling · Answer

The map scale is 2 inches --> 3 miles

Now you are asked what 6 inches represents. That's *3* times as long on the map, so will be *3* times as long in real life.

6 inches --> 9 miles

It's intuitive and you don't even have to get into thinking about proportions and ratios, etc.

If you want to do it in a more formal, mathematical way:
2/3 = 6/x

Cross multiply:
2x = 18
x = 18/2
x = 9

Answer:
9 miles

billrussell42 · Answer

you had better leave the planning to someone else.

3 mi/2 in = x mi/6 in
x = 6(3/2) = 9  mi

llaffer · Answer

2 inches to 3 miles can be set up as a ratio:

2/3

We know the map shows 6 inches with an unknown number of miles, so another ratio:

6/x

The ratios should be the same for all measurements, so we can set them equal and solve for the unknown:

2/3 = 6/x
2x = 18
x = 9 miles

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