Jimmy walked one 3/4 miles to school if you took a break every 1/8 of a mile how many breaks did he take?

2 Answers
Nov 17, 2016

Answer:

He took 5 breaks

Explanation:

If a break was taken every #1/8# of a mile the question is really asking: how many #1/8# can you fit in the distance walked. There is a trap in this and I did fall into it.

#=> 3/4 -:1/8" "->" "3/4xx8/1#

#3/(cancel(4)^1)xx(cancel(8)^2)/1 = 3xx2=6#

As Ez as pi correctly pointed out. The end point is not a break but a stop so is has to be removed from the count.

#3/4 = 6/8# so lets look at this as a distance line diagram

Tony B

This shows that if you can draw one a quick sketch pays off in the end.

The count of breaks is #(3/4-:1/8) -1 = 6-1 =5#

Nov 17, 2016

Answer:

#5# breaks on a #3/4# mile walk.
#13# breaks on a #1 3/4# mile walk.

Explanation:

The question is not clear -whether Jimmy walked #1 3/4# miles or whether it was just #3/4# of a mile.

Let's consider both...

He rests every #1/8# of a mile. Each quarter has two eighths in it, so it would seem that:

#3/4 div 1/8 = 6#

However, after the last #1/8#, he is at school, so he will not take a break.
He therefore he takes 5 breaks on the way to school.

The same applies if the distance is #1 3/4# miles. In the first mile he rests 8 times, and then another 5 times in the next #3/4# because then he arrives at school. He would rest 13 times.

#1 3/4 div 1/8 = 7/4 div 1/8#

=#7/4 xx8/1 = 14# times. But after the the last part he is as school.
#14-1 = 13# breaks