Question

a clock is 5 minutes slow at 4:35 p.m. on Monday and 12 minutes fast at 5:45 a.m. the following Monday if the clock gain inform leave when did it show the correct time​

Answer 1

Clock showed the correct time on Wednesday 2:50 p.m.

Step-by-step explanation:

A clock is 5 minutes slow at 4:35 p.m. on Monday.

and 12 minutes fast at 5:45 a.m. the following Monday.

Time between Monday 4:35 p.m to next Monday 5:45 a.m. = 157 hours 10 min.

or 157.167.

∵ clock gains 17 minutes in 157.167 hours.

∴ clock gains 1 minute = $\frac{157.167}{17}$

                                     ≈  9.25 hours

converting to hours and minutes = 9 hours (0.25 × 60) ≈ 15 min

∴ clock gains 5 minutes = 9.25 × 5

                                        = 46.25 = 46 hours (0.25×60) = 15 min

Clock showed the correct time after 46 hours 15 minutes.

46 hours 15 minutes after 4:35 p.m. on Monday it would be

= 2:50 p.m. on Wednesday

Clock showed the correct time on Wednesday 2:50 p.m.