SOLUTION: 1. Wilson and Matthew own a small business. Wilson, working alone can complete a job in 5 hours. Matthew can complete the same job in 6 hours. How long would it take them to comple
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Question 1167915: 1. Wilson and Matthew own a small business. Wilson, working alone can complete a job in 5 hours. Matthew can complete the same job in 6 hours. How long would it take them to complete the job working together?
2. margarette and cypress were asked to clean the backyard. Margarette clean the backyard in x minutes while cypress is slower by 10 minutes compared to margarette.
A. What part of the job can margarette finish in 1 minute?
B. What part of the job can cypress finish in 1 minute?
C. Margarette and cypress can finish cleaning the tank together within y minute. How will you represent algebraically, in simplest form, the job done by the two if they worked together?
You can put this solution on YOUR website! 1. Wilson and Matthew own a small business. Wilson, working alone can complete a job in 5 hours.
Matthew can complete the same job in 6 hours.
How long would it take them to complete the job working together?
let t = time required when working together
let t = the completed job
each will do a fraction of the job, the two fractions add up to 1 + = 1
multiply the eq by 30, cancel the denominators
6t = 5t = 30
11t = 30
t = 30/11
t = 2.73 hrs or 2 + .73*60 = 2 hrs 44 min working together
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2. margarette and cypress were asked to clean the backyard.
Margarette clean the backyard in x minutes while cypress is slower by 10 minutes compared to margarette.
x = M's time (in minutes)
then
(x+10) = C's time
A. What part of the job can margarette finish in 1 minute?
B. What part of the job can cypress finish in 1 minute?
C. Margarette and cypress can finish cleaning the tank together within y minute.
How will you represent algebraically, in simplest form, the job done by the two if they worked together?
let the completed job = 1 + = 1
multiply eq by x(x+10), cancel the denominators
y(x+10) + yx = x(x+10)
yx + 10y + yx = x^2 + 10x
factor out y
y(x + 10 +x) = x^2 + 10x
y(2x+10) = x^2 + 10x
y =
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