# Question #65e4f

Dec 30, 2016

#### Answer:

The duration of the journey was 17 hours and 20 minutes.

#### Explanation:

I can think of 2 ways to find the answer to this question.

One way is simply by 'counting on" around the clock from the starting time till the ending time of the journey.

From $9 : 15$p.m. to $10 : 00$p.m. is$\text{ }$0 hours 45 min
From $10 : 00$p.m. to midnight is $\text{ } 2$hours
From midnight to midday is$\text{ } 12$ hours
From midday to $2 : 35$p.m. is$\text{ }$2hours 35 min

The total journey time is 16 hours 80 mins, which simplifies to

17 hours and 20 minutes

The other way is by subtracting the starting time from the finishing time.

Because the journey finishes the next day, the time has passed midnight. $00 : 00 = 24 : 00$

$2 : 35$p.m. = $14 : 35$ in 24 hour time

Add 24 hours onto $14 : 35$ to get $38 : 35$
(This enables us to subtract.)

Add 12 hours onto $9 : 15$p.m. to get $21 : 15$ (24 hours time)

Now subtract

$\text{ } 38 : 35$
$\text{ } \underline{- 21 : 15}$
$\text{ } 17 h 20 m$

The duration of the journey was 17 hours and 20 minutes.