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Time and Work

Time and Work - Important Points


6. A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?

A. 7/2 days

B. 7 days

C. 35/2 days

D. 10 days

Discuss Work Space

Answer: option c

Explanation:

Let total work = LCM (7,5) = 35 unit
In 1 day, A and B does 5 unit work.
In 1 day, A, B and C does 7 unit work.
In 1 day, C alone does (7 - 5) = 2 unit work.
C alone can complete it in = 35/2 days


7. A and B together can do a piece of work in 12 days, B and C together in 15 days, C and A together in 20 days. In how many days will they all finish it together?

A. 8

B. 5

C. 10

D. 6

Discuss Work Space

Answer: option c

Explanation:

Let total work = LCM (12,15,20) = 60 unit
In 1 day, A and B does 5 unit work.
In 1 day, B and C does 4 unit work.
In 1 day, A and C does 3 unit work.
Adding the above 3, In 1 day, A, B and C does (5 + 4 +3)/2 = 6 unit work.
Working together, time taken to complete it = 60/6 = 10 days.


8. A and B can do a piece of work in 4 days, while C and D can do the same work in 12 days. In how many days will A, B, C and D do it together?

A. 8 days

B. 4 days

C. 3 days

D. 2 days

Discuss Work Space

Answer: option c

Explanation:

Let total work = LCM (12,15,20) = 60 unit
In 1 day, A and B does 5 unit work.
In 1 day, B and C does 4 unit work.
In 1 day, A and C does 3 unit work.
Adding the above 3, In 1 day, A, B and C does (5 + 4 +3)/2 = 6 unit work.
Working together, time taken to complete it = 60/6 = 10 days.


9. Advika and Billy can do a piece of work in 45 days and 40 days respectively. They began the work together but Advika leaves after some days and then Billy completed the remaining work in 23 days. The number of days after which Advika left the work was:

A. 6

B. 8

C. 9

D. 12

Discuss Work Space

Answer: option c

Explanation:

Let total work = LCM (45,40) = 360 unit
In 1 day, Advika does 8 unit work.
In 1 day, Billy does 9 unit work.
In 1 day, Advika and Billy does (8 + 9) = 17 unit work.
Work completed by Billy in 23 days = 23 x 9 = 207 unit
Work done by them together in = (360 - 207)/17 = 153/17 = 9 days
So, Advika left after 9 days.


10. Advik and Billu can do a piece of work in 25 days and 20 days respectively. They began the work together but Advik leaves after some days and then Billu completed the remaining work in 11 days. The number of days after which Advik left the work was:

A. 9

B. 7

C. 6

D. 5

Discuss Work Space

Answer: option d

Explanation:

Let total work = LCM (25,20) = 100 unit
In 1 day, Advik does 4 unit work.
In 1 day, Billu does 5 unit work.
In 1 day, Advika and Billu does (4 + 5) = 9 unit work.
Work completed by Billu in 11 days = 11 x 5 = 55 unit
Work done by them together in = (100 - 55)/9 = 45/9 = 5 days
So, Advik left after 5 days



Time and Work Questions and Answers FAQ

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