Short hand is the hour hand and it completes 1 revolution in 12 hours.
In 12 hours, distance = 2πr = 2*22/7*4
And, in 2 days or 48 hours, the distance covered = 2*4*22/7*4
= 704/7
= 100.57 cm
Long hand is the minute hand and it completes 1 revolution in 1 hour.
So, in 48 hours, it will take 48 revolutions.
= 2*22/7*6*48
= 12672/7
= 1810.285
Total distance covered by the two hands = 100.57 + 1810.285
= 1910.855 cm

I hope it's helpful for us.....

Given:
The length of the short hand of the clock is 4 cm.
The length of the long hand of the clock is 6 cm.
The time period is 48 hours.

To find:
The sum of the distances traveled by the tips of the clock hands in 48 hours.

Approach:
To solve this problem, we need to determine the distance traveled by each clock hand for every hour and then sum up these distances for 48 hours.

Calculating the distance traveled by the short hand:
The short hand completes one revolution in 12 hours because there are 12 divisions on a clock face.
The circumference of the circular path traced by the tip of the short hand is given by:
Circumference = 2πr = 2π(4) = 8π cm

The distance traveled by the short hand in 1 hour is equal to the circumference divided by 12:
Distance traveled by short hand in 1 hour = 8π/12 = 2π/3 cm

Calculating the distance traveled by the long hand:
The long hand completes one revolution in 1 hour.
The circumference of the circular path traced by the tip of the long hand is given by:
Circumference = 2πr = 2π(6) = 12π cm

The distance traveled by the long hand in 1 hour is equal to the circumference:
Distance traveled by long hand in 1 hour = 12π cm

Calculating the sum of distances for 48 hours:
To find the sum of distances traveled by the tips of the clock hands in 48 hours, we need to multiply the distances traveled in 1 hour by 48.

Distance traveled by short hand in 48 hours = (2π/3) * 48 = 32π cm
Distance traveled by long hand in 48 hours = (12π) * 48 = 576π cm

Therefore, the sum of distances traveled by the tips of the clock hands in 48 hours is:
Sum = Distance traveled by short hand + Distance traveled by long hand
Sum = 32π + 576π = 608π cm

Final Answer:
The sum of distances traveled by the tips of the short and long hands of the clock in 48 hours is 608π cm.