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 July 4th, 2014, 02:50 AM #1 Member   Joined: Jun 2014 From: Brighton Posts: 49 Thanks: 2 A problem on men and work Help required to solve algebra 2 homework A can do a piece of work in 5 days, but with the help of B,A can do it in 3 days. In how much time B alone can complete the same piece of work ? Thanks July 4th, 2014, 05:36 PM   #2
Math Team

Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 408

Hello, burgess!

Quote:
 $A$ can do a piece of work in 5 days, but with the help of $B$, $A$ can do it in 3 days. In how much time can $B$ alone complete the same piece of work?

$A$ does the job in 5 days.
$\quad$In one day, $A$ does $\tfrac{1}{5}$ of the job.

$B$ does the job in $b$ days.
$\quad$In one day, $B$ does $\tfrac{1}{b}$ of the job.

In one day, working together, they can do $\tfrac{1}{5} + \tfrac{1}{b}$ of the job.

We are told that, working together, they can do the job in 3 days.
That is, in one day, working together, they can do $\tfrac{1}{3}$ of the job.

There is our equation! . . . $\dfrac{1}{5} + \dfrac{1}{b} \;=\;\dfrac{1}{3}$

Solve for $b$. Tags men, problem, work Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post FreaKariDunk Calculus 2 September 26th, 2011 08:21 AM Tiome_nguyen Physics 5 February 22nd, 2011 09:44 PM slimcan Elementary Math 5 June 17th, 2010 04:01 AM xujack88 Calculus 1 February 10th, 2010 05:57 PM Tiome_nguyen Calculus 0 December 31st, 1969 04:00 PM

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