Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
ANSWER
1.2 hours
EXPLANATION
Let x represent the number of hours it takes to complete the paint job.
The fraction of a job done per hour with both of them working is 1/x.
Lyle does 1/3 of the painting in one hour
(For example, if it took 3 hours to paint the room, then in one hour, only 1/3 of the room will be painted. In two hours, 1/3 + 1/3 = 2/3 of the room will be painted. In three hours, 1/3+1/3+1/3=3/3=1 of the room will be painted---completed)
Selena does 1/2 of the painting in one hour.
Therefore, for one hour, the fraction of the Job that Lyle does added with the fraction of the Job that Selena does is equal to 1/x, which is the fraction of the job done with both of them working
1/3 + 1/2 = 1/x
Multiply both sides of the equation by x
x/3 + x/2 = 1
Factor out x from the left side
x(1/3 + 1/2) = 1
Combine fractions. Get a common denominator for 1/3 and 1/2.
LCD of 1/3 and 1/2 is 6. 1/3 is equivalent to 2/6 and 1/2 is equivalent to 3/6.
x(2/6 + 3/6) = 1
x (5/6) = 1
x = 1 * 6/5
x = 6/5
x = 1.2 hours
ALTERNATIVE EXPLANTION:
job = rate · time ⇔ rate = job/time ⇔ time = job/rate
Lyle can do 1 paintjob of the room in 3 hours. Therefore, Lyle's rate is 1/3 paintjob per hour.
Selena can do 1 paintjob of the room in 2 hours. Therefore, Selena's rate is 1/2 paintjob per hour.
Their rate when working together is combined:
rate = 1/3 + 1/2 = 2/6 + 3/6 = 5/6
Since time = job/rate and we are interested in 1 paintjob, then job = 1 and
time = 1 / (5/6) = 6/5 = 1.2 hours
1.2 hours
EXPLANATION
Let x represent the number of hours it takes to complete the paint job.
The fraction of a job done per hour with both of them working is 1/x.
Lyle does 1/3 of the painting in one hour
(For example, if it took 3 hours to paint the room, then in one hour, only 1/3 of the room will be painted. In two hours, 1/3 + 1/3 = 2/3 of the room will be painted. In three hours, 1/3+1/3+1/3=3/3=1 of the room will be painted---completed)
Selena does 1/2 of the painting in one hour.
Therefore, for one hour, the fraction of the Job that Lyle does added with the fraction of the Job that Selena does is equal to 1/x, which is the fraction of the job done with both of them working
1/3 + 1/2 = 1/x
Multiply both sides of the equation by x
x/3 + x/2 = 1
Factor out x from the left side
x(1/3 + 1/2) = 1
Combine fractions. Get a common denominator for 1/3 and 1/2.
LCD of 1/3 and 1/2 is 6. 1/3 is equivalent to 2/6 and 1/2 is equivalent to 3/6.
x(2/6 + 3/6) = 1
x (5/6) = 1
x = 1 * 6/5
x = 6/5
x = 1.2 hours
ALTERNATIVE EXPLANTION:
job = rate · time ⇔ rate = job/time ⇔ time = job/rate
Lyle can do 1 paintjob of the room in 3 hours. Therefore, Lyle's rate is 1/3 paintjob per hour.
Selena can do 1 paintjob of the room in 2 hours. Therefore, Selena's rate is 1/2 paintjob per hour.
Their rate when working together is combined:
rate = 1/3 + 1/2 = 2/6 + 3/6 = 5/6
Since time = job/rate and we are interested in 1 paintjob, then job = 1 and
time = 1 / (5/6) = 6/5 = 1.2 hours
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
