SOLUTION: Some work is done by two people in 24 minutes. One of them can do this work alone in 40 minutes. How much time does the second person take to do the same work ?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Some work is done by two people in 24 minutes. One of them can do this work alone in 40 minutes. How much time does the second person take to do the same work ?       Log On


   



Question 736904: Some work is done by two people in 24 minutes. One of them can do this work alone in 40 minutes. How much time does the second person take to do the same work ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Let t+=+time for 2nd person to do the job
Let the completed job+=+1
A shared work equation:
24%2F40+%2B+24%2Ft+=+1.......reduce the fraction
3%2F5%2B+24%2Ft+=+1.....multiply both sides by 5t
3t+%2B+5%2824%29+=+5t
120+=+5t+-+3t
120+=+2t
t+=+60+min ....time needed for 2nd person to do the job
alone