Number of revolution by minute hand(6cm long)=Number of revolution by hour hand(4cm long)=48/12=4 revolution
i.e distance covered by minute hand=6*4 cm=24cm(d1)
distance covered by hour hand=4*4cm=16cm(d2)
total distance covered=d1+d2=(24+16)cm=40cm

Calculating the distance travelled by the clock hands:

To determine the distance travelled by the tips of the clock hands in 48 hours, we need to consider the movement of both the short and long hands.

Calculating the distance travelled by the short hand:
The short hand of the clock is 4 cm long. In one hour, it covers a distance equal to its length, which is 4 cm. Therefore, in 48 hours, the short hand will travel:
Distance travelled by the short hand = length of the short hand × number of hours = 4 cm × 48 = 192 cm.

Calculating the distance travelled by the long hand:
The long hand of the clock is 6 cm long. In one hour, it covers a distance equal to its length, which is 6 cm. Therefore, in 48 hours, the long hand will travel:
Distance travelled by the long hand = length of the long hand × number of hours = 6 cm × 48 = 288 cm.

Calculating the sum of distances travelled by the clock hands:
To find the total distance travelled by both hands, we simply add the distances travelled by the short and long hands:
Total distance = Distance travelled by the short hand + Distance travelled by the long hand = 192 cm + 288 cm = 480 cm.

Therefore, the sum of the distances travelled by the tips of the clock hands in 48 hours is 480 cm.

Summary:
- The short hand of the clock, which is 4 cm long, will travel a distance of 192 cm in 48 hours.
- The long hand of the clock, which is 6 cm long, will travel a distance of 288 cm in 48 hours.
- The total distance travelled by both hands in 48 hours is 480 cm.