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A tiger is 50 of its own heaps behind a deer. The tiger takes 5 heaps per minute to the deer’s 4. If the tiger & the deer cover 8 m & 5 m per heap respectively. What distance will the tiger have to run before it catches the deer?

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower is

A runs \(1 {2 \over 3}\) times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?