Question

A train travels from Paris to Milan.
Train departs from Paris at 20:28 and the journey takes 9 hours and 10 minutes
A) Find the time the train arrives in Milan.
B) The distance between Paris and Milan is 250 km

Answer 1

Hint: In this problem, we will simply add the total time during the journey with the time of departure in the first part.
For the second part, find the average speed using the formula given below:
Average speed$ = $\[\dfrac{{{\text{Total distance}}}}{{{\text{Total time}}}}\]

Complete step-by-step answer:
A) It is given that the train departs from Paris at $20:28$ and the journey takes 9 hours and 10 minutes. The goal of the problem is to find the time at which the train arrives in Milan.
Departure time$ = 20:28$
Time taken in journey$ = $9 hours 10 minutes
Add the hours with the hours and the minutes with the minutes:
$20 + 9 = 29$
$8 + 10 = 38$
We know that there are 24 hours in one day but we have 29 hours after adding the time so we subtract 24 from the obtained hours.
$29 - 24 = 5$
It means that the train arrives in Milan on the next day at 5:38.
B) The total time of the Journey is 9 hours 10 minutes.
First we convert the given minutes into hours by dividing it by 60. There are 10 minutes so it can be express as:
1 minutes$ = \dfrac{1}{{60}}$hours
10 minutes=$\dfrac{{10}}{{60}}$
10 minutes=$\dfrac{1}{6}$
We already have 9 hours, add the obtained time in it. Total number of hours is given as:
$9 + \dfrac{1}{6} = \dfrac{{55}}{6}$
So, there are total $\dfrac{{55}}{6}$hours in the journey.
As we know that average speed is total distance divided by the total time, so the average speed is given as:
$A = \dfrac{{250}}{{\dfrac{{55}}{6}}}$
$A = \dfrac{{250 \times 6}}{{55}}$

$A = 27.27$km per hour

Note: While calculating the average speed, we must have to remember that either the time is in hours and distance is in kilometer or time is in seconds and distance is in meters. First convert the units and then proceed to calculate the required result.