After stopping for gas, Mark drive for [tex]\boxed {2\frac{1}{3} } hours[/tex]. This is also called the third segment
Given:
Total hours driving is 9 hours
Divide into 3 segment:
1st segment 2¹/₂ hours (before lunch)
2nd segment (1²/₃ + 2¹/₂) hours (between after lunch before stopping for gas)
3rd segment (after stopping for gas) ?
Let's say the third segment is x, so we can get the equation as follow:
Total hours = 1st segment+2nd segment + 3rd segment
3rd segment = Total hours - ( 1st segment+2nd segment)
[tex]\boxed {9 - (2\frac{1}{2} + 1\frac{2}{3} +2\frac{1}{2}) }[/tex]
we are going to change the mixed fraction into proper fraction
[tex]\boxed {= 9-(\frac{5}{2} + \frac{5}{3} +\frac{5}{2}) } \\[/tex]
because the denominator is different we need to find the common denominator which is 6
[tex]\boxed {= \frac{54-15-10-15}{6} }\\\boxed {= \frac{14}{6} }\\\boxed {= \frac{7}{3} }\\\boxed {= 2\frac{1}{3} }[/tex]
So after stopping for gas, Mark drives for [tex]2\frac{1}{3}[/tex] hours.
Multistep problem https://brainly.com/question/7809799
Additional that have sum of 10 brainly.com/question/5146571
Mixed fraction brainly.com/question/745462
Keywords: multi-step problem, fraction, mixed fraction, additional fraction, subtraction fraction from a whole number
