Question

The hour hand and the minute hands of a clock are 4 cm and 6 cm long respectively Find the sum of distances travelled by their tips in 2 days?

Answer 1

The tips cover the circular paths

The hourhand covers $4$ complete circle in $2$ days ($48$ hours)

Distance $=2\times \frac{22}{7}\times 4\times 4=100.57cm$

The minute hand covers $=48$circle in $2$ days (Each hours $=1$circle)

Distance $=2\times \frac{22}{7}\times 6\times 48=1810.23cm$

Total distance $=(100.57+1810.23)cm=1910.8cm$