Sophiapiamonte0idn
Answered

IDNStudy.com, ang iyong gabay para sa maaasahan at mabilis na mga sagot. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

General Mathematics
-you have been partnered with samantha for pouring concrete. It take you 3 hours longer than samantha to pour the driveway pad. Working together, you can complete the job in 2 hours. How long would it take each of you if you did not work together​

Sagot :

Berthiveidn

Answer:

Samantha's time = 3 hours

Your time = 6 hours

Step-by-step explanation:

[tex] samantha\: = x \\ you = x + 3 \\ together = 2 \\ \\ \frac{1}{x} + \frac{1}{x + 3} = \frac{1}{2} \\ \frac{x + 3 + x}{x(x + 3)} = \frac{1}{2} \\ \frac{2x + 3}{x(x + 3)} = \frac{1}{2} \\ 2(2x + 3) = x(x + 3) \\ 4x + 6 = {x}^{2} + 3x \\ {x}^{2} - x - 6 = 0 \\ (x - 3)(x + 2) = 0 \\ x = 3 \: \: \: \: \: \: \: x = - 2 \\ samantha\: = x = 3hours \\ you = x + 3 = 3 + 3 = 6hours[/tex]