SOLUTION: carlos can travel 40 miles on his motorbike in the same time that it takes paul to travel 15 miles on his bicycle. If paul rides his bike 20mph slower then carlos rides his motorbi

Question 444770: carlos can travel 40 miles on his motorbike in the same time that it takes paul to travel 15 miles on his bicycle. If paul rides his bike 20mph slower then carlos rides his motorbike, find the speed for each bike.
A passenger train travels 392 miles in the same time that it takes a freight train to travel 322 miles. If the passenger train travels 20 mph faster then the freight train, find the speed of each train
Shelley can paint a fence in 8 hours. Karen can do it in 4 hours. How long will it take them to do the job if they work together?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
40/x=15/x-20
40x-800=15x
25x=800
x=32
Carlos goes 32 mph. Paul goes 12 mph..
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392/x=322/x-20
392x-7840=322x
70x=7840
x=112
The passenger train runs 112 mph. The freight train runs 92 mph..
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1/8+1/4=1/t
3/8=1/t
3t=8
t=8/3
Shelley and Karen can finish a fence in 8/3rds hours working together..
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