document.write( "Question 388064: 1.if a piece of wood is 5cm longer than a second piece and 3/4 of the second piece is equal to the 3/5 of the first what is the length of the second piece?\r
\n" ); document.write( "\n" ); document.write( "2.a man walked for some distance at 8km/h and for an equal distance at 5km/h.the total time he took was 13/4 hours.find the total distance he walked\r
\n" ); document.write( "\n" ); document.write( "3.a man cycled for some time at 16km/h and returned at 15 km/h. the total time was taken was 31/4 hours. find the total distance he cycled?\r
\n" ); document.write( "\n" ); document.write( "4.a cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward outward journey.what is the distance between the villages ?\r
\n" ); document.write( "\n" ); document.write( "5.a boy has a certain number of sweets. if he eats 16 a day they will last him 2 days longer than if he eats 18 a day. how many sweets has ha ?
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Algebra.Com's Answer #275076 by mananth(16946)\"\" \"About 
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1.if a piece of wood is 5cm longer than a second piece and 3/4 of the second piece is equal to the 3/5 of the first what is the length of the second piece?
\n" ); document.write( "...
\n" ); document.write( "second piece = x cm
\n" ); document.write( "first piece = x+5 cm
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\n" ); document.write( "\"%283%2F5%29%2A%28x%2B5%29=%283%2F4%29%2Ax\"
\n" ); document.write( "...
\n" ); document.write( "\"%28x%2B5%29=5x%2F4\"
\n" ); document.write( "...
\n" ); document.write( "4(x+5)=5x
\n" ); document.write( "4x+20=5x
\n" ); document.write( "5x-4x=20
\n" ); document.write( "\"%28highlight%28x=20%29%29\" cm the length of second piece.
\n" ); document.write( "....\r
\n" ); document.write( "\n" ); document.write( "2.a man walked for some distance at 8km/h and for an equal distance at 5km/h.the total time he took was 13/4 hours.find the total distance he walked
\n" ); document.write( "..
\n" ); document.write( "let distance = x
\n" ); document.write( " x/8 + x/5 = 13/4
\n" ); document.write( "LCD = 40
\n" ); document.write( "multiply equation by 40
\n" ); document.write( "5x+8x=130
\n" ); document.write( "13x=130
\n" ); document.write( "/13
\n" ); document.write( "x=10 km
\n" ); document.write( "\"%28highlight%28x=10%29%29\" km\r
\n" ); document.write( "\n" ); document.write( "3.a man cycled for some time at 16km/h and returned at 15 km/h. the total time was taken was 31/4 hours. find the total distance he cycled?
\n" ); document.write( "..
\n" ); document.write( "let distance be x km
\n" ); document.write( "x/16+x/15 = 31/4
\n" ); document.write( "LCD = 960
\n" ); document.write( "multiply equation by 960
\n" ); document.write( "60x+64x=240*31
\n" ); document.write( "124x=7440
\n" ); document.write( "/124
\n" ); document.write( "\"%28highlight%28x=60%29%29\" kmx= 60 km\r
\n" ); document.write( "\n" ); document.write( "...\r
\n" ); document.write( "\n" ); document.write( "4.a cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward outward journey.what is the distance between the villages ?
\n" ); document.write( "..
\n" ); document.write( "let distance be x km
\n" ); document.write( "x/24-x/28 =2
\n" ); document.write( "LCD =1344
\n" ); document.write( "56x-48x=672
\n" ); document.write( "8x=672
\n" ); document.write( "/8
\n" ); document.write( "x= 84 km
\n" ); document.write( "\"%28highlight%28x=84%29%29\" km\r
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\n" ); document.write( "\n" ); document.write( "5.a boy has a certain number of sweets. if he eats 16 a day they will last him 2 days longer than if he eats 18 a day. how many sweets has ha ?
\n" ); document.write( "sweets = x
\n" ); document.write( "x/16-x/18 =2
\n" ); document.write( "LCD= 576
\n" ); document.write( "36x-32x=288
\n" ); document.write( "4x=288
\n" ); document.write( "/4
\n" ); document.write( "\"%28highlight%28x=72%29%29\" sweets\r
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\n" ); document.write( "m.ananth@hotmail.ca
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