tom takes 3days to do a piece of work while jerry takes only one day for the same. together, they both can finish the job in 15 days. in how many days tom will finish the work?
solution please
Didn't you just say that Tom can do it in 3 days?
Since each of them can do the job in 3 days or less, how can it possibly take them 15 days to do it together?
Something is seriously bogus here.
I think the question should be reworded as: ...If it takes Tom & Jerry 15 days to finish the job, how many days will Tom finish the work? or something along these lines.
With that being said, the rate to do a piece of work from each:
Tom = 1/3 and Jerry = 1/1 or 1
Add: 1/3 + 1 = 1 1/3 or 4/3 (improper fraction)
4/3 * 15 = 20
This means that it will take 20 pieces of work to complete the job.
Therefore, Tom will finish the work in 20*3 = 60 days.
We see that Tom is a slow worker from the beginning and working alone will take him 60 days to complete the job.
let tom do the the work in 15¡Á3=45days
and Jerry do the work in 15 days
so total time taken each 45 15=60
so time taken by tom 60/3=20 days
Sorry Manit but you are wrong. I remember this problem in class last year and 60 days is correct not 20. It takes Tom 3 times as long to do the job so 20*3 = 60.
To solve this problem, we can use the concept of work rates.
Let's assume that the amount of work to be done is 1 (considered as a whole job).
Tom takes 3 days to complete the work, so his work rate is 1/3 of the job per day. (1 job / 3 days = 1/3)
Jerry takes 1 day to complete the work, so his work rate is 1 job per day.
When they work together, their work rates are additive. So, the combined work rate of Tom and Jerry is 1/3 + 1 = 4/3 jobs per day.
Since they can finish the job together in 15 days, we can set up the equation: (4/3) jobs per day * 15 days = 1 job
Solving this equation, we find that the job requires a total of 20/3 days.
Now, to find how long it will take for Tom to finish the work alone, we need to subtract Jerry's work rate from the combined work rate (4/3 - 1 = 1/3).
So, Tom's work rate is 1/3 jobs per day.
Using this work rate, we can set up the equation: (1/3) jobs per day * x days = 1 job
Solving for x, we find that it will take Tom 3 days to complete the work alone.