Two workers 10

Worker P can do a work 3 times faster than Q and therefore takes 40 days less than Q.Find the time in which P and Q can complete the work individually.

Correct answer:

P =  20 d
Q =  60 d

Step-by-step explanation:

$$\begin{gathered} P=Q/3 \\ P=Q-40 \\ 3P-Q=0 \\ P-Q=-40 \\ Row2-\frac{1}{3}\cdot Row1\to Row2 \\ 3P-Q=0 \\ -0.67Q=-40 \\ Q=\frac{-40}{-0.66666667}=60 \\ P=\frac{0+Q}{3}=\frac{0+60}{3}=20 \\ P=20 \\ Q=60 \end{gathered}$$

Try another example