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Micah is planning a road trip. He estimates that he will drive a total of of 8 1/4 hours. He wants to stop for a gas after 1/3 of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.

A. 8 1/12 hours
B. 2/3 hours
C. 11/4 hours
D. 2 3/4 hours

Respuesta :

8.25 hours is our base number here. 1/3 of it is taken up when he stops at the gas station.
8.25, 4.125 is half of it, 2.75 is our answer for this,
8.25/3 gives you 2.75 due to 2.75 making it 5.5 when doubled and so on
so, the answer is 2 3/4 hours, D

Answer:

[tex]2\frac{3}{4}[/tex] hours

Step-by-step explanation:

He estimates that he will drive a total of of 8 1/4 hours.

Total time = [tex]8\frac{1}{4}=\frac{33}{4}[/tex]

He wants to stop for a gas after 1/3 of the total time has passed.

So, He stops after time = [tex]\frac{1}{3} \times \frac{33}{4} =\frac{11}{4}[/tex]

So, he will drive for [tex]\frac{11}{4}[/tex] hours before he stops for gas

He will drive for [tex]2\frac{3}{4}[/tex] hours before he stops for gas

So, option D is true .