A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse tr

Question

2 months ago

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A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse tr

aveled the same distance each hour. To determine the distance that the mouse traveled each hour, Matt performed the calculations below. StartFraction 3 Over 24 EndFraction divided by 3 = StartFraction 3 Over (24 divided by 3) EndFraction = StartFraction 3 Over 8 EndFraction He concluded that the mouse traveled StartFraction 3 Over 8 EndFraction of a mile each hour. What is Matt's error?

Mathematics

2 answers:

Svet_ta [12.7K] · Answer 1 · 2026-03-23T07:02:52+03:00

Svet_ta [12.7K]2 months ago

8 0

Answer:

D.) Matt ought to have reduced both 3 and 24 by a factor of 3.

Step-by-step explanation:

Svet_ta [12.7K] · Answer 2 · 2026-03-23T07:00:40+03:00

Detailed analysis:

The scenario mentions that a mouse covered a total of 3/24 miles over a span of 3 hours. The mouse traveled an identical distance during each hour. To find out how far the mouse went in one hour, we need to divide 3/24 miles by 3. Thus,

$d=\dfrac{\dfrac{3}{24}}{3}\\\\d=\dfrac{3}{24}\times \dfrac{1}{3}\\\\d=\dfrac{1}{24}\ \text{hours}$

Matt's calculation indicates that the outcome is 3/8 hours. When he divides 3/24 by 3, he should take the reciprocal of 3, but he doesn't, resulting in 9 as the numerator and 24 as the denominator. The fraction 9/24 simplifies to 3/8. However, the accurate answer should have been 1/24 hours.