Aptitude - Chain Rule - Discussion
Discussion Forum : 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?

Answer: Option
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 |
![]() |
![]() |
3 | x 10 x | 8 | ![]() |
8 | 5 |
x = 6.
Discussion:
36 comments Page 2 of 4.
Ram said:
8 years ago
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.
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:
8 years ago
Very nice explanation @Bhadra.
Shubham said:
7 years ago
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.
How to solve this by using the chain rule? Please help me.
Kathik said:
10 years ago
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.
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.
Pujan Das said:
6 years ago
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.
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:
6 years ago
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.
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.
Anushree said:
3 years ago
@All.
Simply;
First of all, we need to divide 5 by 10, the answer will be 0.5/half so we need to draw two lines for each day, for ex ll-1,ll-2 etc.
And after it comes to 5 just continue drawing two lines for a day (so we will do like this- ll-6, ll-7 and ll-8 )
Now we need to see the number of lines we have drawn, that is 6, then the answer will be 6.
Thank you.
Simply;
First of all, we need to divide 5 by 10, the answer will be 0.5/half so we need to draw two lines for each day, for ex ll-1,ll-2 etc.
And after it comes to 5 just continue drawing two lines for a day (so we will do like this- ll-6, ll-7 and ll-8 )
Now we need to see the number of lines we have drawn, that is 6, then the answer will be 6.
Thank you.
Chandan said:
2 months ago
He completes 5/8 of the work in 10 days.
He can complete the work in,
8/5 * 10 days,
= 80/5 days.
= 16 days.
He completed 10 days of work.
16 - 10 = 6 days.
He can complete the work in,
8/5 * 10 days,
= 80/5 days.
= 16 days.
He completed 10 days of work.
16 - 10 = 6 days.
Chalam said:
1 decade ago
Bhadra & Avijeet,
Nice explanations.
Thanks
Nice explanations.
Thanks
Shaunak said:
1 decade ago
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?
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?
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