Question

P and Q can harvest a field in 5 & 7 days respectively. After P has worked for 3 days, he is joined by Q. In how many more days will the work be completed?

Answer 1

The work will be completed in 7/6 more days

Step-by-step explanation:

P can harvest field in days = 5

P's 1 day work = $\frac{1}{5}$

Q can harvest field in days = 7

Q's 1 day work = $\frac{1}{7}$

(P+Q)'s 1 day work = $\frac{1}{5}+\frac{1}{7}=\frac{12}{35}$

P did work for 3 days

P's 3 day work = $\frac{3}{5}$

Remaining work =  $1-\frac{3}{5}$

Remaining work = $\frac{2}{5}$

(P+Q) did $\frac{12}{35}$ work in days = 1

(P+Q) did work in days = $\frac{35}{12}$

(P+Q) did  $\frac{2}{5}$ work in days = $\frac{35}{12} \times \frac{2}{5}=\frac{7}{6}$

Hence the work will be completed in 7/6 more days

#Learn more :

Two labour A and B can harvest field in 18 days they worked together for 8 days and then we could and alien finish the work in 15 days how long would each of them take the finish the harvesting work separately​

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