- #1

Benjamin_harsh

- 211

- 5

- 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

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

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.