Question

The long and short hands of a clock are 6 cm and 4 cm long respectively

Answer 1

Question :

The short and long hands of a clock are 4 cm and 6 cm long. Find the sum of distances travelled by their tips in 48 hours.

Answer:

Given :

Length of short hand = 4 cm

Length of long hand = 6 cm

We know short hand make 1 revolution in 12 hours while long hand in 1 hour.

Distance travelled by short hand in 48 hours = 4 × 2 π × 4 = 32 π cm

Distance travelled by long hand in 48 hours = 48 × 2 π × 6 = 576 π cm

Total distance travelled = 32 π cm +  576 π cm = 608 π cm

Therefore ,  sum of distances travelled by their tips in two day is 608 π cm.