T&W q1

Saumyojit

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A can do a piece of work in 10 days and B in 12 days. Find how much time it will take to complete the work if b leaves two days before actual completion of work?

If a & b work together then it is taking 5.45 days .
they are working together for 3.45 days
11/60 * 3.45 days = 0.6325 of whole work done
A is doing rest of the work by himself
Per day work = 6/60 =0.1
1 - 0.6325= 0. 3675 of work still left
0. 3675 / 0.1 = 3.675 days ( A alone)
Total= 7.125 days
Is it right?

ANswer is given 6.36 days
 
A can do a piece of work in 10 days and B in 12 days. Find how much time it will take to complete the work if b leaves two days before actual completion of work?

If a & b work together then it is taking 5.45 days .
they are working together for 3.45 days
11/60 * 3.45 days = 0.6325 of whole work done
A is doing rest of the work by himself
Per day work = 6/60 =0.1
1 - 0.6325= 0. 3675 of work still left
0. 3675 / 0.1 = 3.675 days ( A alone)
Total= 7.125 days
Is it right?

ANswer is given 6.36 days
Did you check your answer? (I don't mean comparing to the answer in the book -- in the real world, you can't do that.)

If the total time is 7.125 days, then A worked 7.125 days and B worked 5.125 days. The total amount done was 7.125/10 + 5.125/12 = 1.14 of the job, not 1. So your answer is too large.

Does this check reveal to you where your error was? It should.
 
How much work does A do in t hours?
How much work does B do in t-2 hours?
How much work do they do together if A works for t hours and B for t-2 hours?
What do you want this sum to equal?
Then what is the value of t?
 
Did you check your answer? (I don't mean comparing to the answer in the book -- in the real world, you can't do that.)

If the total time is 7.125 days, then A worked 7.125 days and B worked 5.125 days. The total amount done was 7.125/10 + 5.125/12 = 1.14 of the job, not 1. So your answer is too large.

Does this check reveal to you where your error was? It should.
A worked for x days and B for (x-2) days combined with A
Combined work per day = 11/60
Work per day by A = 6/60
11/60 * (x-2) + 6/60 * 2 =1
11/60x - 11/30 + 1/5=1
x =300/66 = 4.54 days

right?
 
A worked for x days and B for (x-2) days combined with A
Combined work per day = 11/60
Work per day by A = 6/60
11/60 * (x-2) + 6/60 * 2 =1
11/60x - 11/30 + 1/5=1
x =300/66 = 4.54 days

right?
That's a slightly different way to do it than Jomo's, which is essentially what I did. It would be valid if only your arithmetic were correct on that last step! You need to write out more details in order to avoid silly mistakes.

Don't you know enough to check your work when you get a different answer than you are given?? (Not to mention every time you solve a problem.) Of course you weren't right.
 
That's a slightly different way to do it than Jomo's, which is essentially what I did. It would be valid if only your arithmetic were correct on that last step! You need to write out more details in order to avoid silly mistakes.

Don't you know enough to check your work when you get a different answer than you are given?? (Not to mention every time you solve a problem.) Of course you weren't right.
yes . 420/ 66

Can you check q45 post its unsolved still . the question is right i have chekced it .

A can do a piece of work in 10 days and B in 12 days. Find how much time it will take to complete the work if b leaves two days before scheduled completion of work? what does scheduled means ? 5.45 days no of days Combined work ?
 
A can do a piece of work in 10 days and B in 12 days. Find how much time it will take to complete the work if b leaves two days before scheduled completion of work? what does scheduled means ? 5.45 days no of days Combined work ?
This, as I read it, would be the problem you initially solved, when you said
If a & b work together then it is taking 5.45 days .
they are working together for 3.45 days
11/60 * 3.45 days = 0.6325 of whole work done
A is doing rest of the work by himself
Per day work = 6/60 =0.1
1 - 0.6325= 0. 3675 of work still left
0. 3675 / 0.1 = 3.675 days ( A alone)
Total= 7.125 days
Is it right?
This assumes that the "scheduled completion" is when they expected to finish if both continued working. You solved something like t/10 + t/12 = 1, so 6t + 5t = 60 and t = 60/11 = 5.45... days for the planned project, so that 2 days before that would be 3.45... or 38/11 days. (The actual solution, without rounding, is that A works alone for 3 2/3 days, for a total of 235/33 = 7 4/33 days.

Really, I think this version of the problem is poorly stated, because we don't really know what the schedule was! We only know when they would have finished, which may have been before or after the scheduled time. I dislike unstated assumptions.

Can you check q45 post its unsolved still . the question is right i have checked it .
No, that problem is too complicated for me to care about. I did search and found someone else's solution, which confirmed that even when done in a relatively thoughtful way, it is still ugly. It also is poorly stated, though you appear to be interpreting it as intended.

Incidentally, I am not very pleased with your titles, which give no clue as to the content, so you expect others to remember which problem is #45. I'm only guessing which one you mean, and will check later. And you never even said what "T&W" means; I have to guess it is "time and work", or something like that. I also never use "P&C" as a term, but say what I mean. Your style implies disrespect.
 
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See (e) . The solution is given . But i dont understand the difference between actual completion and scheduled completion?
 
11/60 * 3.45 + 1/10 *x = 1
0.6325 + x/10 =1
x= 3.675 days

Total time = 3.675 + 3.45 = 7.125 days
Is this right?
 
See (e) . The solution is given .
11/60 * 3.45 + 1/10 *x = 1
0.6325 + x/10 =1
x= 3.675 days

Total time = 3.675 + 3.45 = 7.125 days
Is this right?
Their answer works out to 7 4/33, just as I said in post 7. That is what you are approximating as 7.125 by rounding (as they did not).

So yes, you are right (and were, if this had been the OP, in the OP). But you should learn from this that they expect exact, fractional answers, not your rounded decimals.

But i dont understand the difference between actual completion and scheduled completion?
How can you not understand when both they and I have explained it? Please tell us what you don't understand about it.

Have you never planned to complete something at a certain time, and then something changed so that you actually finished later? The former is scheduled completion, and the latter is actual completion.
 
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