SOLUTION: If Ted can harvest a field in 16 hours and Eugene can harvest the same field in 13 hours how long will it take Ted and Eugene to harvest the field together

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If Ted can harvest a field in 16 hours and Eugene can harvest the same field in 13 hours how long will it take Ted and Eugene to harvest the field together      Log On


   

Question 919466: If Ted can harvest a field in 16 hours and Eugene can harvest the same field in 13 hours how long will it take Ted and Eugene to harvest the field together
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F6+%2B+1%2F16+=+1%2Fx
16x+ 6x = 96
22x = 96
x = 4 8/22 0r 4 4/11 hr, ~4hr 24min

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
1/16+1/13=1/x
13/208+16/208=1/x
29/208=1/x
x=208/29
x=7.17241379 hours working together
check
x/a+x/b=1
x/16+x/13=1
7.17241379/16+7.17241379/13=1
0.44827586+0.55172414=1
1.0=1
ok
codewt