A can do 1-0 of a work in 5 days- B can do 3-5 of the same work in 9 days and C can do 2-3 of that work in 8 days- In how many days can three of them together do the work-A- 5 daysB- 4 1-2 daysC- 3 daysD- 4 days

The correct option is D 4 days A can do the entire work in 10 days B can do the entire work in 9 × 5/3 days = 15 days C can do the entire work in 8 × 3/2 days ...

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Byju's Answer

Standard X

Mathematics

Inverse Variation

A can do 1/0 ...

Question

A can do $\frac{1}{2}$ of a work in 5 days. B can do $\frac{3}{5}$ of the same work in 9 days and C can do $\frac{2}{3}$ of that work in 8 days. In how many days can three of them together do the work?

5 days

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$4 \frac{1}{2}$ days

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3 days

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4 days

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Solution

The correct option is D
4 days

A can do the entire work in 10 days
B can do the entire work in $\frac{9 \times 5}{3}$ days = 15 days
C can do the entire work in $\frac{8 \times 3}{2}$ days = 12 days

$∴ (A + B + C)^{'} s$ amount of work done in one day
$= \frac{1}{10} + \frac{1}{15} + \frac{1}{12} = \frac{6 + 4 + 4}{60} = \frac{15}{60} = \frac{1}{4}$
$∴$ They will complete the work in 4 days.

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A can do 12 of a work in 5 days. B can do 35 of the same work in 9 days and C can do 23 of that work in 8 days. In how many days can three of them together do the work?

The correct option is D 4 days A can do the entire work in 10 days B can do the entire work in 9×53 days = 15 days C can do the entire work in 8×32 days = 12 days ∴(A+B+C)′s amount of work done in one day =110+115+112=6+4+460=1560=14 ∴ They will complete the work in 4 days.

A can do $\frac{1}{2}$ of a work in 5 days. B can do $\frac{3}{5}$ of the same work in 9 days and C can do $\frac{2}{3}$ of that work in 8 days. In how many days can three of them together do the work?