SOLUTION: two typists working together can type a report in 2.4 hrs. if either had to type the report all alone, it would take the 1st typist 2 hrs longer than the 2nd typist. how long would

Question 1086614: two typists working together can type a report in 2.4 hrs. if either had to type the report all alone, it would take the 1st typist 2 hrs longer than the 2nd typist. how long would it take for each typist to type the said report?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let t = the number of hours the 2nd typist takes working alone
So the rate of the 2nd typist is 1/t
Since the 1st typist takes t+2 hours, their rate is 1/(t+2)
Working together, their combined rate is 1/t + 1/(t+2) = 1/2.4
Solve for t:
(2t+2)/(t^2+2t) = 1/2.4
t^2 -2.8t - 4.8 = 0
Factor:
(t+1.2)(t-4) = 0
We take the positive solution, t = 4
Thus the 1st typist takes 6 hours, and the 2nd typist takes 4 hours
RELATED QUESTIONS
Connie can tpe a report in 4 hours. Mika can type the same report in two hours. How long... (answered by ReadingBoosters)

Please help me with this problem: Working together, Ann and Vicky can finish the report... (answered by mananth)

Olivia can type a report in 2 hours and John takes 3 hours. If the two of them work... (answered by Alan3354)

Olivia can type a report in 2 hours and john takes 3 hours. If the two of them work... (answered by lwsshak3)

Chynna can type a report in 5 hours. Bea, who is a slow typist, helped Chynna and... (answered by Theo)

Chynna can type a report in 5 hours. Bea, who is a slow typist, helped Chynna and... (answered by josgarithmetic)

Printer A can print a report in 3 hours. Printer B can print the same report in 4 hours.... (answered by Mathtut)

I have no idea how to do this problem. Maybe you can help? Two typists are working on... (answered by Mathtut)

Maya takes 12 hours to type a report. Her friend helps her and together they finish the... (answered by srinivas.g)