Answer
minute hand: 4.7123 radians;
hour hand: 0.3927 radians
Work Step by Step
Between 1:00 PM and 1:45 PM, t=45 mins;
minute hand: (45/60)$\times$2$\pi$=3$\pi$/2=4.7123 radians;
hour hand: (1/12)$\times$(45/60)$\times$2$\pi$=(1/12)$\times$3$\pi$/2=0.3927 radians