Tick (✓) the correct answer:
A can do a piece of work in 20 days which B alone can do in 12 days. B worked at it for 9 days. A can finish the remaining work in
(a) 3 days
(b) 5 days
(c) 7 days
(d) 11 days

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Solution

(b) 5 days

$A can complete the work in 20 days . Work done by A in 1 day = \frac{1}{20} B can complete the work in 12 days . Work done by B in 1 day = \frac{1}{12} In 9 days, B completes \frac{9}{12}, i . e ., \frac{3}{4} of the work and leaves 1 - \frac{3}{4}, i . e ., \frac{1}{4} of the work undone . ∴ Time taken by A = \frac{1}{4} \div \frac{1}{20} = \frac{1}{4} \times 20 = 5 days$

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Similar questions

$A$ can do a piece of work in $20$ days which $B$ alone can do in $12$ days. Both started working together, $B$ worked at it for $9$ days. $A$ can finish the remaining work in

(a) $3$ days

(b) $5$ days

(d) $11$ days

Q. A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in how many days ?

Q. Tick (✓) the correct answer:
A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in
(a) 24 days
(b) 27 days
(c) 36 days
(d) 48 days

Q. Tick (✓) the correct answer:
A man can do a piece of work in 5 days. He and his son working together can finish it in 3 days. In how many days can the son do it alone?
(a)

6 \frac{1}{2}

days
(b) 7 days
(c)

7 \frac{1}{2}

days
(d) 8 days

A

alone can do a piece of work in

15

days and

B

alone can do the same work in

12

days.

A

works alone for the first four days. In how many days will

A

and

B

together finishing the remaining work?

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Tick (✓) the correct answer: A can do a piece of work in 20 days which B alone can do in 12 days. B worked at it for 9 days. A can finish the remaining work in (a) 3 days (b) 5 days (c) 7 days (d) 11 days

(b) 5 days A can complete the work in 20 days.Work done by A in 1 day=120B can complete the work in 12 days.Work done by B in 1 day=112In 9 days, B completes 912, i.e., 34 of the work and leaves 1-34, i.e., 14 of the work undone.∴ Time taken by A=14÷120=14×20=5 days

Tick (✓) the correct answer:
A can do a piece of work in 20 days which B alone can do in 12 days. B worked at it for 9 days. A can finish the remaining work in
(a) 3 days
(b) 5 days
(c) 7 days
(d) 11 days