document.write( "Question 1079488: Two trains start at the same instant, one from Kolkata to Modhupur and other from Modhupur to Kolkata. If they arrive Modhupur and Kolkata respectively 1 hour and 4 hours after they pass each other, what is the ratio of the speed of the two trains? \n" ); document.write( "

Algebra.Com's Answer #693798 by KMST(5328) $\"\"$ $\"About$

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I do not know the distance from Modhupur to Kolkata, but I do not need it to solve the problem.
\n" ); document.write( " $\"f\"$ = the ratio of the speed of the faster train to the speed of the slower train.
\n" ); document.write( "So,
\n" ); document.write( "1) in the same length of time, the faster train travels $\"f\"$ times more distance, and
\n" ); document.write( "2) to cover the same distance it takes the slower train $\"f\"$ times longer time.
\n" ); document.write( "
\n" ); document.write( "The distance the slower train had covered when they passed,
\n" ); document.write( "was later covered by the faster train in $\"1\"$ hour.
\n" ); document.write( "It must have taken the slower train $\"f\"$ hours to cover that distance.
\n" ); document.write( "Up to that point the faster train had covered $\"f\"$ times as much distance
\n" ); document.write( "so the slower train has $\"f\"$ times farther to go than it already covered.
\n" ); document.write( "It will take it $\"f\"$ times as long, or {{f*f=f^2}}} hours.
\n" ); document.write( "Since we are told it takes it $\"4\"$ hours,
\n" ); document.write( " $\"f%5E2=4\"$ ---> $\"highlight%28f=2%29\"$ . \n" ); document.write( "

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