# 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

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.