document.write( "Question 920380: Two cyclists start 60km apart. If they cycle towards each other, they meet in an hour and if they cycle in the same direction they meet in five hours. Find their average speeds. (Hint: Draw a sketch)
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Algebra.Com's Answer #558329 by srinivas.g(540) $\"\"$ $\"About$

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Distance = 60 km
\n" ); document.write( " let x and y be the average speeds of two cycles
\n" ); document.write( " if two cycles travel in opposite direction, then relative speed = x+y
\n" ); document.write( " if two cycles travel in same direction , relative speed = x-y
\n" ); document.write( " but if two cycles met in an hour in opposite direction. Hence they covered a distance of 60 km in 1 hour. hence their relative speed is 60 km per hour
\n" ); document.write( " i.e x+y = 60 kmph
\n" ); document.write( "if they travel in same direction , they met in five hours
\n" ); document.write( "hence relative speed (x-y) = 60 km /5 hrs
\n" ); document.write( " = 12 Kmph
\n" ); document.write( " x-y = 12 kmph
\n" ); document.write( " solving both equations
\n" ); document.write( " x+y = 60
\n" ); document.write( " x-y = 12
\n" ); document.write( " adding both equations
\n" ); document.write( " 2x =72
\n" ); document.write( " x= 36 kmph
\n" ); document.write( " y = 36-12
\n" ); document.write( " =24 kmph
\n" ); document.write( "so speed of both cycles will be 36 kmph and 24 kmph \n" ); document.write( "

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