Examples - Work word problems
Example Solving Word Problems: Work word problems
See Other Work Word Problem Examples solved by the Algebra Word Problem Solver: Algebra Applications > Work Problems > Time to do alone, Time to do together
What You Enter
If John can type a paper in 10 hours, and he and George can type it in 4 hours, how long would it take George to type the same paper alone?
What You Get
Time for JOHN alone is 10 Hours.
Time for both together is 4 Hours.
Let T = Time for GEORGE in Hours.
1 1 1
-- + - = - Eq #1
10 t 4
1 1 1
- = - - -- Eq #2
t 4 10
LCM of 10 and 4 = 20.
1 5 - 2
-- = ----- Eq #3
t 20
1 3
-- = ---- Eq #4
t 20
20
t = --- Hours Eq #5
3
Solution: t= (20/3) hours
