It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. How long would it take Michael to seal the driveway close?

Respuesta :

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Hi

Leon do the work in 17 hours that means the rate of his work is [tex]\frac{1}{17} work/hr[/tex], so he do [tex]\frac{2}{17}[/tex] of the work in two hours, therefore Michael do the other [tex]\frac{15}{17}[/tex] of the work, thus Michael rate will be [tex]\frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour[/tex].

So it takes Michael [tex]1h+\frac{4}{17}h[/tex] to complete the work, or [tex]\frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs[/tex]

[tex]1h \ 14 min \ 7secs[/tex]

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