Question

Two clocks are set to show the correct time at 7 pm on a day. One clock loses five minutes in an hour and the other clock gains 2 minutes in an hour. Exactly after how many days will both the watches show the correct time?

Answer 1

Answer:

Problem: A wall clock gains 2 minutes in 12 hours while a table clock loses 2 minutes every 36 hours. Both are set correctly at 12 noon on Tuesday.........................

Answer 2

Answer:

number of days taken by both clocks to show tha same time is 30 days

Step-by-step explanation:

given, both clocks were set the correct time  at 7 pm on a day

clock 1 loses 5 minutes in an hour

clock 2 gains 2 minutes in an hour

assume it as a 12 hour clock

for clock 1 to lose 12 hours it will take $\frac{12(60)}{5}$ = 144 hours

                                    = 6 days

for clock 2 to gain 12 hours, it will take $\frac{12(60)}{2}$ = 360 hours

                                   = 15 days

number of days taken by both clocks to show tha same time = LCM of 6 and 15 = 30 days