Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
Option B
Step-by-step explanation:
Time taken by Nathan to completethe task = 4 hours
[tex]\text{Work done by Nathan in 1 hour = $\dfrac{x}{4}$}[/tex]
Time taken by Elijah to complete the task = 3 hours
[tex]\sf \text{Work done by Elijah in 1 hour=$\dfrac{x}{3}$}[/tex]
They work together to complete the work
[tex]\text{Work done by both in 1 hour = $ \dfrac{x}{4}+\dfrac{x}{3}$}[/tex]
[tex]\sf =\dfrac{x*3}{4*3}+\dfrac{x*4}{3*4}\\\\=\dfrac{3x}{12}+\dfrac{4x}{12}\\\\=\dfrac{7x}{12}[/tex]
[tex]\text{Time taken by both= x $\div$ $\dfrac{7x}{12}$}[/tex]
[tex]\sf = x * \dfrac{12}{7x}\\\\ = \dfrac{12}{7}[/tex]
≈ 1.7 hours
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.