Question

0. Rohan leaves home between 7 a.m. and 8 a.m. and returns between
1 p.m. and 2 p.m. to find that the minute and hour hands have in-
terchanged their positions. How long was Rohan out of the house?​

Answer 1

Answer:

6 hours 27 $\frac{9}{13}$ minutes

Step-by-step explanation:

Clearly, they interchange positions after 6 revolutions.

= 1 total= (6+1) revolutions = 7 revolutions.

They change positions one in every 55$\frac{5}{13}$ minutes= $\frac{720}{13}$ minutes.

Time= ($\frac{720}{13}$ × 7) minutes = $\frac{5040}{13}$ minutes

= $\frac{84}{13}$ hours

=$\frac{78}{13}$ hours + $\frac{6}{13}$ × 30 minutes

= 6 hours 27 $\frac{9}{13}$ minutes