Math!last question before sat!

<p>7 Bernardo drives to work at an average speed of 50 miles per hour and returns along the same route at an average speed of 25 miles per hour. If his total travel time is 3 hours, what is the total number of miles in the round-trip?</p>

<p>Answer is 100....</p>

<p>HOW DO YOU DO IT!??!?! simply that is</p>

<p>If it’s a multiple choice question, one way to get it would be to backsolve…try all the distances w/ the speeds you know and see which one gives you 3 hours time</p>

<p>If not, you’re going to have to either set up an equation, or just recognize that his speed there is 2 times his speed home, so he gets there in half the time. Since his total time is 3 hours, that breaks down into 1 hour there, and 2 hours back.</p>

<p>If it takes him 1 hour to get there, going 50 mph, then his one-way trip is 50 miles, and his round trip is 100 miles.</p>

<p>If you cannot do it the way PWNtheSAT suggested, you can do the following.</p>

<p>Using algebra, let x = time it takes to drive to the lake.</p>

<p>50x=25(3-x) distribute (or divide by 25)
50x=75-25x add 25x
75x=75 divide by 75
x=1 the time it takes to drive to the lake
So, the distance one way is 50x=50(1) =50 miles
So, round-trip is 100 miles</p>