# Davey reads 45 pages in an hour. Sally reads 55 pages per hour. If Davey begins to read at 2 PM and Sally starts to read at 2:40 PM, at what time will they be reading the exact same page?

Dec 17, 2017

5.40pm

#### Explanation:

Davey started reading first.
This means that at 2.40pm, Davey would have read $30$ pages

$\left(\frac{40}{60} \cdot 45\right)$

while Sally, $0$ pages. Sally read $10$ pages more than Davey per hour, this means that she will catch up with Davey at the 3rd hour after 2.40pm.

Therefore, $3$ hours after 2.40pm will be 5.40pm.