Aptitude - Chain Rule - Discussion

Discussion :: Chain Rule - General Questions (Q.No.6)

6. 

A man completes of a job in 10 days. At this rate, how many more days will it takes him to finish the job?

[A]. 5
[B]. 6
[C]. 7
[D].
7 1
2

Answer: Option B

Explanation:

Work done = 5
8

Balance work = 1 - 5 = 3
8 8

Let the required number of days be x.

Then, 5 : 3 = :: 10 : x     5 x x = 3 x 10
8 8 8 8

x = 3 x 10 x 8
8 5

x = 6.


Ranjan said: (Oct 20, 2010)  
Comapare these two No. 5 and 6 please clear me. I don't understand these two question.

Shaunak said: (Nov 28, 2010)  
Take the problem in the following way:.

A man can complete 5/8 of a work in 10 days. How long does it take to complete 3/8 of the same work?

Mr.Romana said: (Jan 27, 2011)  
Its so simple...

work done in one day:5/8*10=1/16

remaining work is:1-5/8=3/8

3/8*8/3=1/6
1/6+1/6+1/6+1/6+1/6+1/6=1
it means the remaining work can be done in 6 days

M.V.Krishna said: (Mar 19, 2011)  
work   days
5/8     10
8/8     x

5x/8=10

x=16

total work 16 days
remaining to do = (16-10) days
= 6 days

Chandrasekar said: (Jun 8, 2011)  
Remaining work is:1-5/8=3/8

I cant understand this step, someone explain ?

Mini said: (Jul 18, 2011)  
Total work of job= 8
Out of 8 he does 5 in 10 days (given in the question)
so 5 work of a job= 10days
Therefore, 1 work of a job= 10/5= 2days

Now remaining days are(8-5)=3days

So 3 work of a job=3*2=6 days.

Priyanka said: (Aug 15, 2011)  
@Chandrasekar

Its too simple logic..

Consider the work done be 1.

They have completed 5/8 of work.

So remaining is 1-(5/8)=(8-5)/8=3/8

Bhadra said: (Aug 15, 2011)  
Very easy
For 5 parts work he takes 10days
for 3 parts ?

3*10/5=6days

Avijeet said: (Sep 4, 2011)  
Hey guys its very easy...

5/8 work can be done in 10 days

So 1 work can be done in 10/(5/8) days=10*8/5=16 days

Hence remaining(1-5/8=3/8)work can be done in 16*3/8
=6 days

Chalam said: (Dec 26, 2011)  
Bhadra & Avijeet,

Nice explanations.

Thanks

Shahid said: (Apr 20, 2012)  
It can be solved this way also
To complete 5/8 part --- 10 days
To complete 8/8 parts ---- ? days

Solving, {(8/8) x 10}/{5/8} = 16 days

Therefore remaining days = 160- 10 = 6 days

Sourabh said: (Aug 17, 2012)  
@bhadra
hey nice explaination, thanks it helped me alot

Mithilesh Kumar said: (Aug 30, 2013)  
In 1 day (5/8)/10 = 0.0625 part work is done.

Hence,

No.of days taken to complete this = 1/0.0625 = 16.

Remaining days = 16-10 = 6.

Satish said: (Sep 5, 2013)  
5/8 job = 10 days.

1 job = 10*8/5 = 16.

Remaining days = 16-10 = 6.

Sonu said: (Jan 9, 2014)  
Job Day(s).
5/8 10
1/8 10/5=2
8/8
(i.e.=1) 2X8=16

Remaining Days = 16-10 = 6.

Ruk said: (Apr 23, 2014)  
From 8/8 of total work, 5/8 part done in 10 days.

For one part he took 2 days.
10/5 = 2.

Then balance 3/8 part he will take.
3x2 days = 6 days.

Sankar said: (Dec 3, 2014)  
A's 10 days work 5/8.

Then A's one day 5/10 = 0.50.

Remaining work 3/8. So 2 days 1 work over.

Therefore remaining work is 3*2 = 6 days remaining over.

Gaurav Pant said: (Jul 29, 2015)  
5/8 work completed in 10 days.

Total work will complete = 10*(8/5) = 80/5 = 16.

Therefore remaining work (1-5/8) done on = 16-10 days = 6 days.

Kathik said: (Jan 27, 2016)  
Given that 5/8 (job) = 10 days.

Then for full job completion take:

1(job) = 10(8/5).

= 16 days.

So in question asked how many remaining days to finish the job.

So Total days - Given days.

= 16 - 10 = 6 days.

Bindu Brisk said: (Mar 17, 2016)  
It's so simple:

Total of 8 parts 5 parts done in 10 days:

Remaining 3 parts in 6 days:

1 part = 2 days.

Gokul Raj said: (May 24, 2016)  
The work of 5 parts done in 10 days.
So, 10/5 = 2 days of time taken to complete one part.
Then, 5/8 has 3 remain parts 3 * 2(days) = 6 days.

Thank you.

Ram said: (Jun 30, 2016)  
Total work of job = 8,

Out of 8 he does 5 in 10 days (given in the question).

So, 5 work of a job = 10 days,

Therefore, 1 work of a job = 10/5 = 2 days,

Now remaining work are (8-5) = 3,

1 work = 2 days,

So, 3 work of a job = 3*2 = 6 days. (2+2+2).

Pavan Power Star Pk Fan said: (Jul 22, 2016)  
He takes 10 days to complete 5/8 of the job.

In 1 day he does 5/80 of job.
If the job is complete then fraction will become 1.So (work done in 1 day) * (no. of days ) = 1.
Then, the number of days = 16.

But he did 10 days work already so the remaining days needed to complete the job is 6 days.

Zareena said: (Jun 7, 2017)  
5/8 job = 10 days,
1 job = 10 * 8/5,
1 job = 16 days,
16 - 10 days = 6 days.

Ram said: (Jul 7, 2017)  
Look another eg;

1/2 work = 5 day
Then,
Getting completed ie,
LHS should be 1.
cross multiply.
ie
1=2*5.
=10days.
Similarly,
5/8=10.
1= 8/5*10.
= 16.

Sowmiya said: (Sep 2, 2017)  
Very nice explanation @Bhadra.

Shubham said: (Mar 9, 2018)  
A garrison of 750 men has provision for 20 weeks if, at the end of 4 weeks, they are reinforced by 450 men, how long the provision will last?

How to solve this by using the chain rule? Please help me.

Venkat Ravi said: (May 16, 2018)  
Consider a job value is 100(not given).

8/3 of work is done in 10 days then,

(8/3)*100 = 62.5(ie.,62.5% of work is completed in 10 days then the remaining work will be 37.5).

For 10 days 67.5.
For single day=(67.5/10)=6.75(ie.,per day work).
Remaining days=(remaining work/per day work) = (37.5/6.75) = 6 days.

Rajan said: (Mar 25, 2019)  
He completed 5 jobs out of 8, in 10 days so that means he completed 1 job in 2 days and to complete 3 more jobs (8-5=3) and he will take 6 days (3x2=6).

Pujan Das said: (Apr 22, 2019)  
5/8 is completed in 10 days.
Hence, 1 (100%) will be completed in (10*8)/5 = 16 days.
The rate of work remains constant. (important point).
Thus, Remaining days = total days - elapsed = 16 - 10 = 6 days.

Jefferson said: (May 9, 2019)  
5/8 of the work is completed in 10 days.
So we get the remaining work = (1-5/8).
= 3/8.
Completing work is directly proportional to days.

Hence direct proportion where x/y = constant.
Let we take the time taken to complete 3/8 be x.
And therefore = 10/(5/8) = 16,
for 3/8=8x/3,
thus 8x/3=16,
8x = 48,
and x = 6days.

Gagan said: (Sep 12, 2020)  
5/8 of the work could be completed in 10 days.
So, full work could be completed in 10*8/5 = 16 days.
Extra days = 16 -10 = 6 days.

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