Mark breaks up a 9-hour drive into 3 segment. He drives 2 1/2 hours before stopping for lunch after driving some more he stops f

Question

4 years ago

14

or gas if the second segment of his drive is 1 2/3 hours longer than the first segment how long did he drive after stopping for gas

2 answers:

Sauron [17] · Answer 1 · 2022-01-29T18:06:24+03:00

6 0

7 1/3 before stopping

Kipish [7] · Answer 2 · 2022-01-29T20:15:47+03:00

After stopping for gas, Mark drive for $\boxed {2\frac{1}{3} } hours$ . This is also called the third segment

<h3>Further Explanation</h3>

<u>Given:</u>

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)

$\boxed {9 - (2\frac{1}{2} + 1\frac{2}{3} +2\frac{1}{2}) }$

we are going to change the mixed fraction into proper fraction

$\boxed {= 9-(\frac{5}{2} + \frac{5}{3} +\frac{5}{2}) } \\$

because the denominator is different we need to find the common denominator which is 6

$\boxed {= \frac{54-15-10-15}{6} }\\\boxed {= \frac{14}{6} }\\\boxed {= \frac{7}{3} }\\\boxed {= 2\frac{1}{3} }$

So after stopping for gas, Mark drives for $2\frac{1}{3}$ hours.

<h3>Learn More</h3>

Additional that have sum of 10 brainly.com/question/5146571

Keywords: multi-step problem, fraction, mixed fraction, additional fraction, subtraction fraction from a whole number