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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 a job working together?

Devise a plan:
Carry out the plan:
Answer to the Question?

Report kapag nonsense tas AI answer.​

Sagot :

CloudyClothyidn

PROBLEM-SOLVING

PROBLEM:

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 a job working together?

ANSWER:

Devise a plan:

Let x the amount of time they will work together.

[tex] \sf{30( \frac{x}{5} + \frac{x}{6} ) = 1(30)}[/tex]

Carry out the plan:

[tex] \sf{5x + 6x = 30} \\ \sf{11x = 30} \: \: \: \: \: \: \: \: \\ \sf{x = \frac{30}{11} } \: \: \: \: \: \: \: \: \: \\ \: \: \: \sf{ \boxed{ \sf{x = 2.7 \: hours}}}[/tex]

Answer to the Question:

If they work together, they need approximately 2.7 hours or 2 hrs and 44 min.