8
Q:

Two persons Shyam and Rahim can do a job in 32 days together. Rahim can do the same job in 48 days alone. They started working together and after working 8 days Rahim is replaced by a third person Ram whose efficiency is half that of Rahim. Find in how many days the remaining work will be completed by both Shyam and Ram together?

A) 16 days B) 72/5 days
C) 15 days D) 96/5 days

Answer:   B) 72/5 days



Explanation:

Work done by Shyam and Rahim in 8 days = 8/32 = 1/4

Remaining work to be done by Shyam and Ram = 1 - 1/4 = 3/4

Given efficieny of Ram is half of Rahim i.e, as Rahim can do the work in 48 days, Ram can do the work in 24 days.

One day work of Ram and Shyam = (1/32 - 1/48) + 1/24 = 5/96

Hence, the total work can be done by Shyam and Ram together in 96/5 days.

 

Therefore, remaining work 3/4 can be done by them in 3/4 x 96/5 = 72/5 = 14.4 days.

Q:

Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil and Dinesh work together?

 

A) 12 days B) 8 days
C) 14 days D) 16 days
 
Answer & Explanation Answer: B) 8 days

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1 219
Q:

X can complete a work in 27 days and Y can do the same work in half of the time taken by X. Working together what part of the same work can they complete in a day?

 

A) 1/9 B) 1/6
C) 1/12 D) 2/27
 
Answer & Explanation Answer: A) 1/9

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2 90
Q:

A, B and C can individually complete a task in 20 days, 16 days and 30 days, respectively. If A and B started working on the task, and they worked for 4 days and left, then the number of days required by C to finish the remaining task is:

 

A) 16.5 days B) 13 days
C) 10 days D) 12.5 days
 
Answer & Explanation Answer: A) 16.5 days

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4 117
Q:

A can do a piece of work in 6 days. B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work ?

 

A) 18 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: A) 18

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3 206
Q:

X and Y can complete a work in 5 days. Y and Z can complete the same work in 6 days. Z and X can complete the same work in 15/2 days. In how many days will X, Y and Z together complete the work?

 

A) 2   B) 4  
C) 3   D) 2/5
 
Answer & Explanation Answer: B) 4  

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4 196
Q:

Ram and Shyam can complete a task in623 days and 15 days, respectively. They work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shyam complete the remaining task alone?

 

A) 112days B) 3 days
C) 4 days D) 2 days
 
Answer & Explanation Answer: D) 2 days

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1 254
Q:

X and Y can do a piece of work in 10 days, Y and Z in 12 days and Z and X in 15 days. In how many days can Z alone do the work?

 

A) 40 B) 24
C) 18 D) 36
 
Answer & Explanation Answer: A) 40

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0 179
Q:

A and B can complete a piece of work together in 20 days. They start work together but A had to leave 5 days before the work finally got over. If B finishes the remaining in 18 days, then how long will A take to complete the work separately.

 

A) 100 days B) 120 days
C) 72 days D) 64 days
 
Answer & Explanation Answer: D) 64 days

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0 300