Clocks doubt (LR)

Honestly, the biggest issue in clock gain/loss questions is that people try to memorize formulas instead of understanding the “movement of error.”

The thought process should always be:

“How much total error changed?”

and

“In how much real time did that happen?”

Here:

• At Monday noon → watch is 2 min slow
• Next Monday 2 pm → watch is 4 min 48 sec fast

So first think:

to go from 2 min slow to 4 min 48 sec fast, the watch had to “cover”:

2 min + 4 min 48 sec

= 6 min 48 sec

= 408 seconds

Now calculate total real time passed.

From Monday noon to next Monday 2 pm:

= 7 days + 2 hours

= 170 hours

So:

A 408 sec gain takes 170 hours.

Now ask:

“When will the watch become correct?”

Initially, it is 2 min slow.

So it needs to gain:

120 seconds

Use direct proportion:

408 sec gain → 170 hours

120 sec gain → x hours

x=(120×170)/408x =50 hours

50 hours after Monday noon:

• 48 hours → Wednesday noon
• +2 hours → Wednesday 2 pm

So the watch shows the correct time at:

2 pm on Wednesday.

The key mindset in these questions:

• Don’t think “clock formulas.”
• Think “error changing over time.”

That alone simplifies almost every gain/loss clock question.