Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 20
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20Two pipes feed water into a storage tank. One of them acting alone will fill the tank
2.
in 8 hours; both together will fill the tank in 6hours. How long will it take the second
pipe to fill the tank if it is acting alone?
Let x=number of hours it takes to fill the tank using the second pipe.
Rate
time
part done
pipe#1
1/8
6
6/8
pipe#2
1/x
6
6/x
1
6/8+6/x=1
LCD=8x
8x*6/x+8x*6/x=8x*1
6x+48=8x
48=2x
x=24.
Carlos can pick all the oranges in a grove in 18 days; Alvin can do the same job in 12
3.
days. Carlos and Alvin started together picking the oranges, but after the sixth day
Carlos quit. How much longer did it
take Alvin to finish the job? (HINT: Figure out how much
work they got done together in six days; then Alvin will have to do the rest of the work in the unknown
time asked for.)
Let x=number of days longer.
Rate
time
part of job done
Carlos
1/18
6
6/18
Alvin
1/12
6+x
(6+x)/12
1
6/18+(6+x)/12=1
LCD=36
36*6/18+36*(6+x)/12=36*1
12+3(6+x)=36
12+18+3x=36
3x=6
x=2
20
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