document.write( "Question 107492This question is from textbook College Algebra
\n" ); document.write( ": Some bank robbers leave town, speeding at 70 mph. Ten minutes later, the police give chase, traveling at 78 mph. How long will it take the police to overtake the robbers? \n" ); document.write( "
Algebra.Com's Answer #78270 by ankor@dixie-net.com(22740)\"\" \"About 
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Some bank robbers leave town, speeding at 70 mph. Ten minutes later, the police give chase, traveling at 78 mph. How long will it take the police to overtake the robbers?
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\n" ); document.write( "Let t = travel time of the cops
\n" ); document.write( "The crooks had a 10 min head start, change 10 min to hrs: 10/60 = 1/6 hr
\n" ); document.write( "(t + (1/6)) = travel time of the crooks
\n" ); document.write( ":
\n" ); document.write( "We know when the cops overtake the crooks they will have traveled the same distance,
\n" ); document.write( "Write a distance equation from this fact: Distance = speed * time
\n" ); document.write( ":
\n" ); document.write( "78t = 70(t + \"1%2F6\")
\n" ); document.write( ":
\n" ); document.write( "78t = 70t + \"70%2F6\"
\n" ); document.write( ":
\n" ); document.write( "78t - 70t = \"70%2F6\"
\n" ); document.write( ":
\n" ); document.write( "8t = \"70%2F6\"
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\n" ); document.write( "Multiply equation by 6 to get rid of the denominator, you then have:
\n" ); document.write( "48t = 70
\n" ); document.write( ":
\n" ); document.write( "t = \"70%2F48\"
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\n" ); document.write( "t = 1.4583 hrs, or 1 hr 27.5 min
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\n" ); document.write( "Check our solution with a calc by finding that the distances are the same:
\n" ); document.write( "Cops: 78 * 1.4583 = 113.75 miles
\n" ); document.write( "Crooks: 70 * (1.4583 + (1/6)) = 113.5 miles also
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