Question

In a clock the long hand is of 8cm and the short hand is of 7cm.
if the clock runs for 4 days find out the total distance
covered by both the hands?

Answer 1

4 days = 96 hours
long hand makes 1 round (i.e 2*pi*r) in 1 hour, so 96 rounds in 96 hours
short hand makes 1 round in 12 hours, so 8 rounds in 96 hours
Hence total distance = (96*2*pi*8) + (8*2*pi*7) = 1648*pi