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- anonymous

When they work together, Stuart and Lucy can deliver flyers to all the hokes in their neighbourhood in 42 min. When Lucy works alone, she can finish the deliveries in 13 min less time than Stuart can when he works alone. When Staurt works alone, how long does he take to deliver the flyers?

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- anonymous

- chestercat

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- Hero

Formula for working together:
\[\frac{S \times L}{S + L} = t \]
S = Stuart's time
L = Lucy's time
t = Time it takes when Stuart and Lucy work together
In this case:
S = x
L = x - 13
t = 42
Thus:
\[\frac{x(x-13)}{x + x - 13} = 42\]
After solving for x, you should get:
x = 91

- anonymous

can u explain the formula to me please?

- Hero

This is the only way I can explain it:
Michael can complete a task in 5 minutes. Nancy can complete the same task in 7 minutes. How much time would it take if they did the job together?
Using the "Time Working Together" formula:
\[\frac{ M \times N}{M + N} = t\]
Insert the given values M = 5 and N = 7:
\[\frac{5 \times 7}{5 + 7} = t\]
Now solve for t:
\[\frac{35}{12} = t\]
\[t = 2.91 \approx 3\]
Therefore, if they work together, Michael and Nancy can complete the task in approximately 3 minutes.

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