SOLUTION: The first worker can make 5 chairs in 3 hours.
The second worker can make 7 chairs in 4 hours.
How long will it take the two workers to manufacture 10 chairs? Don't forget to
Algebra.Com
Question 895890: The first worker can make 5 chairs in 3 hours.
The second worker can make 7 chairs in 4 hours.
How long will it take the two workers to manufacture 10 chairs? Don't forget to show units.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Letx=amount of time needed for the two workers to make 10 chairs
The first worker works at the rate of 5/3=1.67 chairs per hour
The second worker works at the rate of 7/4=1.75 chairs per hour
Together they work at the rate of (5/3) + (7/4)=(20/12)+(21/12)=(41/12)=3.42 chairs per hour. So, our equation to solve is:
3.42x=10
x=2.92 hours time needed for the two workers to make 10 chairs working together
CK
In 2.92 hours, the first worker makes (1.67)(2.92)=4.88 chairs
In 2.92 hours, the second worker makes (1.75)(2.92)=5.11 chairs
Together they make 4.88+5.11=9.99 chairs
Instead of 10, we got 9.99 and this is caused by round-off errors.
If we work it out in fractions, we should get the exact answer. Lets try it:
Together, they work at the rate of 41/12 chairs per hour
So our equation to solve is:
(41/12)x=10 multiply each side by 12
41x=`120
x=120/41 hours
CK
In 120/41 hours, the first worker makes (5/3)(120/41)=200/41 chairs
In 120/41 hours, the second worker makes (7/4)(120/41)=210/41 chairs
200/41 +210/41=410/41=10 chairs YEA!!!!
Hope this helps---ptaylor
RELATED QUESTIONS
Three workers have to do a certain job. The first worker can finish the job in 8 hours.... (answered by ikleyn,greenestamps)
A worker can stuff 1000 shrimp in 8 hours. With the help of a second worker, 1000 shrimp... (answered by Boreal,MathTherapy)
First worker can make one part of road 4 hours faster than second worker and we know that (answered by richwmiller)
If four people can make 24 chairs in 2 hours how many chairs can 5 people make in three... (answered by Edwin McCravy)
Mike can paint one chair in 4 hours. Laura can paint 3 chairs in 7 hours. If they work... (answered by mananth)
Working alone, worker A can complete a task in 3 hours; worker B can complete it in 6... (answered by eric.schuh)
If a Home Depot worker can paint a house in 4 hours, and a Lowes worker can paint the... (answered by stanbon)
One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours.... (answered by richwmiller)
One highway worker can pick up all the trash on a strip of highway in 5 hours, and his... (answered by stanbon)