Question

Ravi and Kumar are working on as 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 difference computers to type an assignment of $110$ pages?

• A. $7$ hours $30$ minutes
• B. $8$ hours
• C. $8$ hours $15$ minutes
• D. $8$ hours $25$ minutes

Answer 1

The correct option is C $8$ hours $15$ minutes

Number of pages typed Rave 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 $=(\frac{16}{3}+8)=\frac{40}{3}$.
$\therefore$ Time taken by both to type $110$ pages $=(110\times \frac{3}{40})$ hours
$=8\frac{1}{4}$ hours (or) $8$ hours $15$ minutes.