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Alan & Sumei are 9km apart on a straight road and they are walking uniformly towards each other.
\n" ); document.write( " If they start walking at the same time, they will meet in 1 hour 30 minutes.
\n" ); document.write( " if Sumie starts walking 30 minutes after Alan, they will meet after Sumei has walked 1 hour 12 minutes.
\n" ); document.write( " Find the speed of Alan and the speed of Sumei in km/h.
\n" ); document.write( ":
\n" ); document.write( "let a = Alan's walking speed
\n" ); document.write( "let s = Sum's walking speed
\n" ); document.write( ":
\n" ); document.write( "When they meet they will have walked a total of 9 km
\n" ); document.write( "Write a dist equation for each scenario, dist = time * speed
\n" ); document.write( ":
\n" ); document.write( "1.5a + 1.5s = 9
\n" ); document.write( "simplify, divide equation by 1.5
\n" ); document.write( "a + s = 6
\n" ); document.write( "s = (6-a), use this form for substitution
\n" ); document.write( "and
\n" ); document.write( "Alan walks 30 min longer than Sum, 1 hr 42 min which is 1 + 42/60 = 1.7 hrs
\n" ); document.write( "Sum walks 1 hr 12 min which is 1 + 12/60 = 1.2 hrs
\n" ); document.write( "1.7a + 1.2s = 9
\n" ); document.write( "replace s with (6-a)
\n" ); document.write( "1.7a + 1.2(6-a) = 9
\n" ); document.write( "1.7a + 7.2 - 1.2a = 9
\n" ); document.write( "1.7a - 1.2a = 9 - 7.2
\n" ); document.write( ".5a = 1.8
\n" ); document.write( "a = 1.8/.5
\n" ); document.write( "a = 3.6 km/hr is Alan's walking speed
\n" ); document.write( "Find s
\n" ); document.write( "s = 6 - 3.6
\n" ); document.write( "s = 2.4 km/hr is Sum's
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check this in the 1st original equation
\n" ); document.write( "1.5(3.6) + 1.5(2.4) =
\n" ); document.write( "5.4 + 3.6 = 9
\n" ); document.write( " \n" ); document.write( "