Arithmetic

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Arithmetic

by sud21 » Fri Oct 09, 2015 7:58 pm
Trenchard Boulevard begins at Ocean Street and runs directly east for 3 miles until it ends when it meets Bay Street. Trenchard Boulevard is intersected exactly every tenth of a mile by a perpendicular street, and each of those streets other than Ocean Street and Bay Street is given a number beginning at 1st Street (one block east of Ocean Street) and continuing consecutively (2nd Street, 3rd Street, etc.) until the highest-numbered street one block west of Bay Street. What is the highest-numbered street that intersects Trenchard Boulevard?

a) 28th Street

b) 29th Street

c) 30th Street

d) 31st Street

e) 32nd Street

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by [email protected] » Fri Oct 09, 2015 9:53 pm
Hi sud21,

This is a wordy example of what's called a 'fence-post' problem. If you draw a picture, you'll find it's rather easy to deal with.

I'm going to give you some hints to get you started so that you can attempt this question again on your own:

1) Draw a line segment (left to right)
2) Label the left point "Ocean" and the right point "Bay"
3) We're told that this line segment is 3 miles long and that every 1/10 of a mile there is a street that intersects this line segment. Starting next to "Ocean", draw an intersecting line and call is "1st Street", the next line is "2nd Street, the next is "3rd Street" and so on.

Without drawing every single intersection, can you figure out how many there are? (Hint: Remember that there's a beginning and an end to the 3 mile line).

Final Answer: B

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