Question

A train leaves the station at \[8:15\] pm and reaches its destination at \[6:25\] am. The duration of the journey is

Answer 1

Hint: The duration of the journey means the time taken between starting and ending point of a journey. Here the train starts in the night time and reaches the destination in the morning so by calculating the given time into hours we will find the journey’s duration.

Complete step-by-step answer:
It is given that the train leaves the station at \[8:15\] pm and reaches its destination at \[6:25\] pm.
We have to find the duration of the journey.
The duration of the journey is \[8:15\] pm\[ - 6:25\] am
Here we are going to find the time by partial addition of time.
That is we are going to find the time from 8:15 PM to 12 AM with the time.
Since we know that one hour =60 minutes
\[8:15\] PM to 9 PM it is 45 minutes, and from 9 pm to 12 AM it is 3 hours.
Hence the duration of time from 8:15 PM to 12 AM is \(3{ \text{hours}} + 45{ \text{minutes = 3 hour 45 minutes}}\)
Now let us calculate the time duration from 12 AM to 6:25 AM
It is clear that the duration from 12 AM to 6:25 AM is \(6{ \text{hours 25 minutes}}\)
By adding both the durations we could find the total duration of the journey,
Hence the duration from \[8:15\] pm\[ - 6:25\] am is \(3{ \text{hours 45 minutes + }}6{ \text{hours 25 minutes = 9 hours 70 minutes}}\)
We know that 1 hour = 60 minutes
Then the duration changes as \({\text{10 hours 10 minutes}}\)
Hence, the duration of the journey is \({\text{10 hours 10 minutes}}\)

Note: Without partial addition of time we can also find the duration by the fact that 8:15 am to 8:15 pm is 12 hours and 6:25 am is 1 hour 50 minutes behind 8:15 am hence the subtraction of 1 hour 50 minutes from 12 hours we get the duration as 10 hours 10 minutes.