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High School Algebra I Semester 1 Study Guide

High School Algebra I Semester 1 Study Guide

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<strong>High</strong> <strong>School</strong> <strong>Algebra</strong> I<br />

<strong>Semester</strong> 1 <strong>Study</strong> <strong>Guide</strong><br />

24 Two trains leave the same station at the same<br />

time, traveling in opposite directions. The<br />

first train travels at 80 mph and the second<br />

train travels at 90 mph. In how many hours<br />

will the trains be 425 miles apart<br />

First, draw a diagram.<br />

80 mph station 90 mph<br />

n<br />

425 mi.<br />

24´ You Try.<br />

24) An airplane flies from San Francisco<br />

to New York at a speed of 350 mph and<br />

takes x hours. The return flight is at a<br />

speed of 300 mph and takes y hours. The<br />

flight from New York to San Francisco<br />

takes 1 hour longer than the flight from<br />

San Francisco to New York. How long<br />

does each flight take<br />

The distance the first train travels plus the<br />

distance the second train travels is equal to<br />

425 miles. But distance is rate • time. And<br />

the trains travel for the same amount of time.<br />

So:<br />

80 mph • x hrs. + 90 mph • x hrs. = 425<br />

The trains will be 425 miles apart in 2½ hours.<br />

15.0<br />

End of <strong>Study</strong> <strong>Guide</strong><br />

Page 16 of 19 MDC@ACOE (AUSD) 09/13/10

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