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Train A&B traveling in the same direction, train A is traveling at 60 miles per
\n" ); document.write( " hr and train B is traveling at 70 miles per hr, train A passes a station at 3:25
\n" ); document.write( " p.m. and train B passes the same station at 3:55 p.m.
\n" ); document.write( " at what time will train B catch up with train A?
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\n" ); document.write( "From the given information, we know at 3:25 pm, train B is 30 min behind train A
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\n" ); document.write( "Since it will take .5 hr to reach the station B must be 70*.5 = 35 mi behind A
\n" ); document.write( ":
\n" ); document.write( "let t = travel time for B to catch A
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\n" ); document.write( "Write a distance equation: dist = speed * time
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\n" ); document.write( "B's travel dist = A's travel dist + 35 mi
\n" ); document.write( "70t = 60t + 35
\n" ); document.write( "70t - 60t = 35
\n" ); document.write( "10t = 35
\n" ); document.write( "t =
\n" ); document.write( "t = 3.5 hrs for B to catch A
\n" ); document.write( "then
\n" ); document.write( "3:25 + 3.5 = 6:55 PM B catches A
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\n" ); document.write( "Check this by finding the distance each traveled
\n" ); document.write( "70 * 3.5 = 245 mi
\n" ); document.write( "60 * 3.5 = 210 mi
\n" ); document.write( "-----------------
\n" ); document.write( "difference: 35 mi
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\n" ); document.write( "Did this make sense to you? \n" ); document.write( "