document.write( "Question 1122925: A motorist travels 60 km at x km/hr and 180 km at y km/hr and takes 10 hours altogether for the journey. If the speeds are interchanged, the journey takes 8hr 40mins. Find x and y \n" ); document.write( "

Algebra.Com's Answer #739142 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( " A motorist travels 60 km at x km/hr and 180 km at y km/hr and takes 10 hours altogether for the journey. If the speeds are interchanged, the journey takes 8hr 40mins. Find x and y
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document.write( "60y + 180x = 10xy ------ Multiplying by LCD, xy ------ eq (i)\r
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document.write( "540y + 180x = 26xy ----- Multiplying by LCD, 3xy ------- eq (ii)
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document.write( "480y = 16xy ------------ Subtracting eq (i) from eq (ii)
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document.write( " ------ Substituting 30 for x in eq (i)
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document.write( "2y + 180 = 10y
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document.write( "180 = 10y - 2y
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document.write( "180 = 8y
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