THIS MONTH'S QUIZ
A room measures 6m square. It has a polished floor, partially covered by a carpet 4m square, placed centrally as shown.
1. An intelligent spider, which can crawl one and a quarter times as fast on the floor as on the carpet, is on the floor at A, the mid-point of one wall, when it sees a less intelligent fly at B, the mid-point of the opposite wall. It reaches the fly in 56 seconds. How fast does it walk on carpet?
2. If the spider were at C, 90 cm from the corner of the carpet, and the fly were at D, another corner of the carpet as shown, find the length of
CF, the part of its journey covered on carpet, if the spider is to reach the fly as soon as possible.
3. In this case, how long does the spider take to reach the fly?