document.write( "Question 1025576: A train and a car are 180km apart. If they travel towards each other, they will meet in 50 minutes. If they travel in the same direction, the train will overtake the car in 1.8 hours. What is the speed of the train? \n" ); document.write( "
Algebra.Com's Answer #640856 by stanbon(75887)\"\" \"About 
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A train and a car are 180km apart. If they travel towards each other, they will meet in 50 minutes. If they travel in the same direction, the train will overtake the car in 1.8 hours. What is the speed of the train?
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\n" ); document.write( "The sum of their rate is 180km/(5/6)hr = 216 kph
\n" ); document.write( "So t+c = 216 kph
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\n" ); document.write( "train distance = 180+x km
\n" ); document.write( "car distance = x km
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\n" ); document.write( "train rate = (180+x)/1.8 kph
\n" ); document.write( "car rate = x/1.8 kph
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\n" ); document.write( "Equation:
\n" ); document.write( "(180+x + x)/1.8 = 216
\n" ); document.write( "(180+2x)/1.8 = 216
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\n" ); document.write( "180+2x = 388.8
\n" ); document.write( "2x = 208
\n" ); document.write( "x = 104 km
\n" ); document.write( "train distance = 104 + 180 = 284 km
\n" ); document.write( "Ans: train rate = 284/1.8 = 157.78 kph
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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