Question

Question:
The actual time now is $ 1:28pm $ , but the timings given below were seen on Varun and Samrat’s watches. Considering and accommodating the time difference, predict what the time on Varun’s watch at actual time in the evening, ‘half past $ 6 $ ‘.
Varun’s watch: $ 13:53 $
Samrat’s watch: $ 13:15 $
The options for time on Varun’s watch are:
(a) $ 5:30 $ in the evening
(b) $ 6:55 $ in the evening
(c) $ 6:30 $ in the evening
(d) $ 5:55 $ in the evening

Answer 1

Hint: Notice what the actual time says and what Varun’s watch says. Clearly the actual time and the time on Varun’s watch do not match, so try to find the time difference that is an error in time. Depending on the error check if his watch is fast or slow, after finding that out, just add the time to the actual time if the watch is fast or subtract the time from actual time if his watch is slow.

Complete step-by-step answer:
Let us see what is given to us;
It is said in the scenario that the original time at a given time is given to us, that is $ 1:28pm $
Note down carefully the time on each of the watches;
Time on Samrat’s watch is $ 13:15 $
Time on Varun’s watch is $ 13:53 $
 $ 13 \Rightarrow 1 $ in the afternoon, so the hour hand is showing the correct time, so each of their watches are on different to the actual time by a few minutes.
Clearly if Samrat’s watch shows $ 13:15 $ , it means that her watch is few minutes slow, the correct calculation will be:
 $
  28 - 15 \\
   \Rightarrow 13 \;
  $
So her watch is slow by $ 13 $ minutes.
And clearly if Varun’s watch shows $ 13:53 $ , it means that his watch is few minutes faster, the correct calculation will be:
 $
  53 - 28 \\
   \Rightarrow 25 \;
  $
So his watch is fast by $ 25 $ minutes.
Now we need to find out what the time on Varun’s watch will be when the actual time in the evening becomes half past $ 6 $ .
Half past $ 6 $ $ \Rightarrow 6:30 $
Since Varun’s watch is $ 25 $ minutes faster, we add $ 25 $ to $ 6:30 $
That is;
 $
   \Rightarrow 30 + 25 \\
   \Rightarrow 55 \;
  $
So time on Varun’s watch when actual time is $ 6:30 $ is: $ 6:55 $ in the evening.
Therefore the correct option here is option (b) $ 6:55 $ in the evening.
So, the correct answer is “OPTION b”.

Note: We should be careful when we note down the values from the question. If the timings are noted down in a wrong manner then we can easily make errors. It is an easy question to calculate time differences but while doing it quickly we might write the wrong answer. Especially we need to be careful in observing if the given time is am or pm, am for morning and pm in the evening. Digital watches show $ 24 $ hour clocks so we should know what each hour signifies especially after $ 12 $ pm.