# Kirsten can type a 50-page paper in 8 hours. Last month Kirsten and Courtney, together, typed a 50-page paper in 6 hours. How long would it take Courtney to type a 50-page paper on her own?

Jul 3, 2018

Time taken by Courtney to type 50 pages $= \frac{50}{2 \left(\frac{1}{12}\right)} = 24$ hours

#### Explanation:

No. of pages typed by Kristen in 8 hours = 50

No. of pages typed by Kristen in 6 hours $= \left(\frac{6}{8}\right) \cdot 50 = 37 \left(\frac{1}{2}\right)$ pages

Kristen + Courtney typed pages in 6 hours = 50

$\therefore$ Courtney typed pages in 6 hours = 50 - 37(1/2) = 121/2) pages

No. of pages typed by Courtney in 1 hour = 12(1/2) / 6 = 2(1/12) pages

Time taken by Courtney to type 50 pages $= \frac{50}{2 \left(\frac{1}{12}\right)} = 24$ hours