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Algebra Level pending

Al can do a piece of work in 14 days, and working together, Al and Bob can do the same amount of work in 10 days. In what time can Bob alone do the work ?

16 35 20 27 28

2 solutions

Tom Engelsman
Mar 4, 2021

If $x$ be Bob's time alone, then we require:

$\frac{1}{x} + \frac{1}{14} = \frac{1}{10} \Rightarrow \frac{1}{x} = \frac{14-10}{140} = \frac{1}{35} \Rightarrow \boxed{x=35}$ days.

§Martie On Brilliant
Mar 7, 2021

Bob works 10 $\div$ $4$ $=$ $2.5$ times slower than Al, therefore:

$14$ $\times$ $2.5$ $=$ $\boxed{35}$ $\Longrightarrow$ Bob's work time (days)

Production Rate

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