Do Clocks A and B Show the Same Time After 72 Hours Despite Speed Differences?

[Benjamin_harsh]

Homework Statement

At 3:00 pm, clock was showing regular time. There are two clocks, one gains 5 min per hour. Another one loses 5 mins per hour. After how many hours both clocks will show the same time again?

Relevant Equations

contradicting answers for this problem.

My friend showed me:
Each hour clock A runs 5 minutes fast, after 12 hours, clock A is indicating 1 hour later than it should be. Although it is 3, it shows 4.

Similarly, because each hour clock B runs 5 minutes slow, after 12 hours, clock B is indicating 1 hour earlier than it should be. Although it is 3, it shows 2.

At t = 0h: Clock A points to 3. Clock B points to 3.
At t = 12h: Clock A points to 4. Clock B points to 2.
At t = 24h: Clock A points to 5. Clock B points to 1.
At t = 36h: Clock A points to 6. Clock B points to 12.
At t = 48h: Clock A points to 7. Clock B points to 11.
At t = 60h: Clock A points to 8. Clock B points to 10.
At t = 72h: Clock A points to 9. Clock B points to 9.

Another friend says: The times (after 72 hours) wouldn't match, as one would be 9 pm and the other 9 am.

 

[PeroK]

Another friend says: The times (after 72 hours) wouldn't match, as one would be 9 pm and the other 9 am.

Does the question specifiy whether the clocks have 12-hour or 24-hour displays?

 

[Benjamin_harsh]

Does the question specifiy whether the clocks have 12-hour or 24-hour displays?

Clocks have 12-hour. Not 24 hours.

 

[PeroK]

Clocks have 12-hour. Not 24 hours.

You can set my alarm clock for 7am. And it doesn't go off at 7pm as well!

 

[Benjamin_harsh]

You can set my alarm clock for 7am. And it doesn't go off at 7pm as well!

How does it answer my question?

 

[PeroK]

How does it answer my question?

Are you saying the clocks in the problem have 12-hour displays?