SOLUTION: 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? 2.a man walked for so

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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?
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
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?
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 ?
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 ?
Answer by mananth(16946) About Me  (Show Source):
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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?
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second piece = x cm
first piece = x+5 cm
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%283%2F5%29%2A%28x%2B5%29=%283%2F4%29%2Ax
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%28x%2B5%29=5x%2F4
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4(x+5)=5x
4x+20=5x
5x-4x=20
%28highlight%28x=20%29%29 cm the length of second piece.
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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
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let distance = x
x/8 + x/5 = 13/4
LCD = 40
multiply equation by 40
5x+8x=130
13x=130
/13
x=10 km
%28highlight%28x=10%29%29 km
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?
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let distance be x km
x/16+x/15 = 31/4
LCD = 960
multiply equation by 960
60x+64x=240*31
124x=7440
/124
%28highlight%28x=60%29%29 kmx= 60 km
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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 ?
..
let distance be x km
x/24-x/28 =2
LCD =1344
56x-48x=672
8x=672
/8
x= 84 km
%28highlight%28x=84%29%29 km

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 ?
sweets = x
x/16-x/18 =2
LCD= 576
36x-32x=288
4x=288
/4
%28highlight%28x=72%29%29 sweets
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m.ananth@hotmail.ca