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Question

After traveling in a train for 3 13 miles, Mike realizes that he left something behind, so
he gets off at a stop 12 miles behind.

What is the position of the point on the number line where Mike gets off?


A
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B
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C
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D
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Solution

The correct option is B
Here, the distance of the stop from the starting point can be found by subtracting 1/2 miles from the total distance.

Distance traveled from the starting
=3 13 =103 miles

Distance from starting point to where Mike got off
= Total distance - Overshot distance

=103 12

=20 36

=176 or 256 miles

Locating 256 miles on the number line,
it lies between 2 and 3 at 5 parts
out of 6 parts, i.e.,


Therefore, second option is the correct answer.

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