I forgot how to solve this problem:
N and L are able to set up 300 chairs in 10 minutes. N works twice as fast as L. How long would it take N to set up the chairs alone?
N and L are able to set up 300 chairs in 10 minutes. N works twice as fast as L. How long would it take N to set up the chairs alone?
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Make a fraction to represent the workdone by each person.
time working together/time needed if alone
If N works twice as fast, L will take twice as long.
N = 10/x
L = 10/2x
Add the fractions. If the job gets done, the answer is 1.
10/x + 10/2x = 1
10/x + 5/x = 1
x = 15
It would take N 15 minutes to do it alone.
time working together/time needed if alone
If N works twice as fast, L will take twice as long.
N = 10/x
L = 10/2x
Add the fractions. If the job gets done, the answer is 1.
10/x + 10/2x = 1
10/x + 5/x = 1
x = 15
It would take N 15 minutes to do it alone.
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N can set up 200 chairs in 10 minutes, and L can set ut 100 chairs in 10 minutes. So N will set up 300 chairs in 15 minutes.
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2L*10+L*10 = 300
L = 10
N = 20 chairs/min
20t = 300
t = 15 mins
L = 10
N = 20 chairs/min
20t = 300
t = 15 mins