Discussion Forum

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

Answer:

Explanation:

Number of pages typed by Ravi in $1$ hour $=\frac{32}{6}$ $=\frac{16}{3}$.

Number of pages typed by Kumar in $1$ hour $=\frac{40}{5}$ $=8$.

Number of pages typed by both in $1$ hour $=\left(\frac{16}{3}+8\right)$ $=\frac{40}{3}$.

$\therefore$ Time taken by both to type $110$ pages $=\left(110\times\frac{3}{40}\right)$ hours.

$=8\frac{1}{4}$ hour or $8$ hours $15$ minutes.