mariamikayla
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Benone would finish mower garden in 8 hours. Pandele would finish in 10 hours mowing same garden. How long would finish mower garden together?

Sagot :

crisforp
In 1 hour, Benone _ _ _ g / 8 ;
In 1 hour, Pandele _ _ _ g / 10 ;
= = = = = = = = = = = = = = = = =
In 1 hour, Benone and Pandele  _ _ _ g / 8 + g / 10 = 5g / 40 + 4g / 40 = 9g / 40;
Benone and Pandele would finish garden together in 40 / 9 hours = 4 hours 26 minutes 40 seconds;
[tex]Benone-\frac{1}{8}\ mower\ garden\ per\ hour\\\\Pandele-\frac{1}{10}\ mower\ garden\ per\ hour\\\\\frac{1}{8}+\frac{1}{10}=(*)\\\\find\ LCD(\frac{1}{8};\ \frac{1}{10})\\\\List\ of\ the\ multiples\ of\ 8:0;\ 8;\ 16;\ 24;\ 32;\ \boxed{40};\ 48;...\\List\ of\ the\ multiples\ of\ 10:0;\ 10;\ 20;\ 30;\ \boxed{40};\ 50;\ ...\\\\LCD(\frac{1}{8};\ \frac{1}{10})=40\\\\\frac{1}{8}=\frac{1\cdot5}{8\cdot5}=\frac{5}{40};\ \frac{1}{10}=\frac{1\cdot4}{10\cdot4}=\frac{4}{40}[/tex]

[tex](*)=\frac{5}{40}+\frac{4}{40}=\frac{9}{40}-together\ per\ hour[/tex]

[tex]t-time\ when\ together\ finish\ the\ garden\\\\\frac{9}{40}\cdot t=1\ \ \ \ \ \ |multiply\ both\ sides\ by\ \frac{40}{9}\\\\\boxed{t=\frac{40}{9}\ (h)=4\frac{4}{9}\ h=4h+\frac{4}{9}h=4h+\frac{4}{9}h=4h+\frac{4}{9}\cdot60\ min\approx4h27min}[/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 appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.