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Standard IX

Mathematics

Ratio and Proportion

A can do 14...

Question

A can do $\frac{1}{4}$ of a work in $5$ days and B can do $\frac{1}{3}$ of the same work in $10$ days . Find the number of days in which both working together will complete the work .

12

days

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20

days

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44

days

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18

days

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Solution

The correct option is A $12$ days
A can do the complete work in $5 \times 4 = 20$ days
B can do the complete work in $10 \times 3 = 30$ days
Here X $= 20$ , Y $= 30$
$∴$ A and B , working together , can complete the work in $= \frac{X Y}{X + Y}$ days
$= \frac{20 \times 30}{20 + 30} = \frac{600}{50} = 12$ days

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A can do 14 of a work in 5 days and B can do 13 of the same work in 10 days . Find the number of days in which both working together will complete the work .

The correct option is A 12 daysA can do the complete work in 5×4=20 daysB can do the complete work in 10×3=30 daysHere X =20, Y =30∴ A and B , working together , can complete the work in =XYX+Y days=20×3020+30=60050=12 days

A can do $\frac{1}{4}$ of a work in $5$ days and B can do $\frac{1}{3}$ of the same work in $10$ days . Find the number of days in which both working together will complete the work .