Time and Work








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Study Material







Quiz Begins Here

Q #1
:

Directions: Read the following information to answer the question.

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

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Solution:

(A+B)’s 1 day’s work =[1/45+1/40]=17/360

⇒ Work done by B in 23 days=1×{23/40}=23/40

⇒ Remaining work =1−{23/40}

=17/40⇒ Now, 17/360 work was done by (A+B) in 1 day.

⇒ 17/40 work was done by (A+B) in 1×{360/17}×{17/40}=9 days.

 Therefore, A left after 9 days.


Q #2
:

Directions: Read the following information to answer the question.

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank in gallons is

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Solution:

Work done by the waste pipe in 1 minute

⇒ 1/15–[1/20+1/24]

⇒ 1/15−11/120=−1/40

⇒volume of 1/40 part = 3 gallons.

Therefore, Volume of whole =(3×40)gallons = 120 gallons.


Q #3
:

Directions: Read the following information to answer the question.

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

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Solution:

Let's calculate how much time it takes to repair the road if just 1 person were working on it.

5 hours a day for 12 days makes it 60 hours per person.

39 people working 60 hours each makes it 39×60=2340 hours in total.

Now we have 30 people working 6 hours a day

⇒ That means 30×6=180 hours are spent each day.

We need a total of 2340 hours. With 180 hours every day, 

that's going to take 2340/180= 13 days to complete...

Or you could just do it in one step... :)

39×12×5=30×x×6

2340=180x

x=2340/180

x = 13.


Q #4
:

Directions: Read the following information to answer the question.

Water flows into a reservoir which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m X 0.2m) at 20kmph. In what time will the water level be 8?

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Solution:

Volume of water collected in the tank in 1 hour

⇒ 0.3×0.2×20×1000=1200 m cubic 

If after t hours, the water is at height of 8m, 

1200t=200×150×8

⇒ t = 200 Hours.


Q #5
:

Directions: Read the following information to answer the question.

A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours, for the completion of the same product. If all of them worked together and completed 14 products, then how many hours have they worked?

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Solution:

1/A=10 and 1/B+1/C=1/4

 (Given)

1/A+1/B+1/C=1/4+1/10=7/20

In 20 hours, working together they will complete 7 products. 

Thus in 40 hours they will complete 14 products