A can cultivate ${\frac{2}{5}}^{t h}$ of a field in 6 days and B can cultivate ${\frac{1}{3}}^{r d}$ of the same field in 10 days. Working together A and B can cultivate ${\frac{4}{5}}^{t h}$ of the field in -

4 days

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5 days

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8 days

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10 days

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6 days

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Solution

The correct option is C
8 days

A’s 1 days work = $\frac{2}{5 \times 6} = \frac{1}{15}$

B’s 1 day work = $\frac{1}{3 \times 10} = \frac{1}{30}$

(A+B)’s 1 day work = $\frac{1}{15} + \frac{1}{30} \Rightarrow$ (A+B)’s complete time = $\frac{30 \times 15}{30 + 15}$ = 10

(A+B)’s $\frac{4}{5}$ th work time = $\frac{4}{5} \times 10$ = 8 days.

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Similar questions

A

can cultivate

\frac{2}{5}

of a land in 6 days and

B

can cultivate

\frac{1}{3}

of the same land in 10 days. Working together,

A

and

B

can cultivate

\frac{4}{5}

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A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?

(a) 5 days

(b) 6 days

(d) 9 days

Q. Tick (✓) the correct answer:
A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?
(a) 5 days
(b) 6 days
(c) 8 days
(d) 9 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?

A does a work in 10 days and B does the same work in 15 days. In how many days will they together finish the same work?

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A can cultivate 25th of a field in 6 days and B can cultivate 13rd of the same field in 10 days. Working together A and B can cultivate 45th of the field in -

The correct option is C 8 days A’s 1 days work = 25×6 = 115 B’s 1 day work = 13×10 = 130 (A+B)’s 1 day work = 115 + 130 ⇒ (A+B)’s complete time = 30 × 1530+15 = 10 (A+B)’s 45 th work time = 45 × 10 = 8 days.

A can cultivate ${\frac{2}{5}}^{t h}$ of a field in 6 days and B can cultivate ${\frac{1}{3}}^{r d}$ of the same field in 10 days. Working together A and B can cultivate ${\frac{4}{5}}^{t h}$ of the field in -