At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
let's recall that d = rt, or namely distance = rate * time, the time being in a unit "in the rate".
Train A is moving North with 76m/h, Train B is going South at 44 m/h, both taking off in opposite direction at the same time, hmmmm so at some point the distance covered by both will be 22 miles, let's say that happens at the "h" hour.
If at "h" hour A has covered say distance "d" miles, then we can say that B has covered "22 - d" miles or namely the slack from 22, let's make a table with all that
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ A&d&76&h\\ B&22-d&44&h \end{array}\qquad \implies \qquad \begin{cases} d = 76h\\ 22-d=44h \end{cases}[/tex]
[tex]\stackrel{\textit{substituting on the 2nd equation}}{22-(76h)=44h}\implies 22=120h\implies \cfrac{22}{120}=h\implies \cfrac{11}{60}=\underset{hrs}{h} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{converting the hours to minutes}}{\cfrac{11}{60}\cdot 60\implies \underset{mins}{11}}~\hfill[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
