Question

Mark breaks up a 9 hour. Drive into three segments.he drives 2 1/2 hours before stopping for lunch. After driving some more,he stops for gas.if the second segment of his drive was 1 2/3 hours longer than the first segment how long did he drive after stopping for gas? Please show your work

Answer 1

Answer: $2\frac{1}{3}\ hours$

Step-by-step explanation:

Given: The total time he drove= 9 hours

The time taken in first segment=$2\frac{1}{2}\ hours=\frac{5}{2}\ hours$

Since in the second segment of his drive was $1\frac{2}{3}$ hours longer than the first segment

Then the time he took in second segment=$\frac{5}{2}+1\frac{2}{3}=\frac{5}{2}+\frac{5}{3}=\frac{25}{6}\ hours$

Now , the time taken by him in the third segment=$9-(\frac{5}{2}+\frac{25}{6})$

$=9-\frac{40}{6}\\\\=\frac{14}{6}\\\\=\frac{7}{3}\\=2\frac{1}{3}\ hours$

Hence, He drive $2\frac{1}{3}\ hours$ after stopping for gas

Answer 2

He drive after stopping for gas for  $\frac{7}{3} = 2\frac{1}{3}   $ hours

Further explanation

Mark breaks up a 9 hour. Drive into three segments.he drives 2 1/2 hours before stopping for lunch. After driving some more,he stops for gas.if the second segment of his drive was 1 2/3 hours longer than the first segment how long did he drive after stopping for gas?

According to the description above we can draw the segments, where Mark 1st segments is $\frac{5}{2}$ hours

Mark 2nd segments is $\frac{5}{2}$ hours + $\frac{5}{3}$ hours

Mark 3rd segments is ?

9 hours = Mark 1st segments + Mark 2nd segments + Mark 3rd segments

9 hours =  $\frac{5}{2} +\frac{5}{2}  +\frac{5}{3}$ hours + Mark 3rd segments

9 hours =  $\frac{15}{6} +\frac{15}{6}  +\frac{10}{6}$  + Mark 3rd segments

9 hours =  $\frac{40}{6}$ + Mark 3rd segments

$9 hours - \frac{40}{6}  $ =    Mark 3rd segments

$\frac{54}{6} - \frac{40}{6}  $ =    Mark 3rd segments

$\frac{14}{6}  $ hours=    Mark 3rd segments

$\frac{7}{3}  $ hours=    Mark 3rd segments

$2\frac{1}{3}  $ hours=    Mark 3rd segments

Learn more

1. Learn more about Multi-Step Problems https://brainly.com/question/13367798
2. Learn more about Multi-Step https://brainly.com/question/9247563
3. Learn more about the first segment https://brainly.com/question/7422292

Answer details

Grade:  5

Subject:  Math

Chapter:  Multi-Step Problems

Keywords:  

Multi-Step Problems, Multi-Step, Multi, step, second segment, gas