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# [Smart Math] Time Speed Distance Problem 1

Here’s and example of a SMART MATH problem for TIME SPEED DISTANCE.

### Problem

My watch is 1 minute slow at 1.00 pm on Tuesday and 2 minutes fast at 1.00 pm on Thursday. When did it show the correct time?

1. 1.00 am on Wednesday
2. 5.00 am on Wednesday
3. 1.00 pm on Thursday
4. 5.00 pm on Wednesday
5. 5.00 pm on Thursday

### The Usual Method

Between 1.00 pm on Tuesday and 1.00 pm on Thursday, there are 48 hours. Thus in 48 hours, the watch gains 1 + 2 = 3 minutes.

Hence, it gains 1 minute every $\frac{48}{3}=16$ hours.

Thus to show the correct time, it will have to gain 1 minute. Hence, we need to add 16 hours to 1.00 pm on Tuesday. 16 hours can be broken in to 12 + 4 hours.

12 Hours + 1.00 pm on Tuesday = 1.00 am on Wednesday.

4 Hours + 1.00 am on Wednesday = 5.00 am on Wednesday.

(Ans: 2)

Estimated Time to arrive at the answer = 45 seconds.