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 s

Question

3 years ago

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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 s

tops 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

Mathematics

2 answers:

Alecsey [184] · Answer 1 · 2022-06-05T04:48:35+03:00

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

Gnesinka [82] · Answer 2 · 2022-06-05T07:06:25+03:00

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

<h3>Further explanation </h3>

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