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 some

Question 388186: 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 edjones(8007) (Show Source): You can put this solution on YOUR website!
1) Let x be the length of the 1st piece and y be the length of the 2nd.
x=y+5
3x/5=3y/4
12x=15y multiply each side by 20
12(y+5)=15y Substitute y+5 for x.
12y+60=15y
3y=60
y=20 cm
.
Ed
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