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?
5
6
7
7 1
2
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

x = 3 x 10 x 8
8 5

x = 6.

Discussion:
36 comments Page 1 of 4.

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.

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.

Venkat Ravi said:   7 years ago
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.

Pavan Power star PK fan said:   9 years ago
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.

Ram said:   9 years ago
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).

Avijeet said:   1 decade ago
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

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.

Mini said:   1 decade ago
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.

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.

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.


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