The distance between London and Edinburgh is 660 km.(i) A train took 5 hours 30 minutes to complete the journey.Calculate its average speed in km/h.(ii) The average speed of another train was 150 km/h.How long did this train take for the journey? Give your answer in hours and minutes
Question
The distance between London and Edinburgh is 660 km.(i) A train took 5 hours 30 minutes to complete the journey.Calculate its average speed in km/h.(ii) The average speed of another train was 150 km/h.How long did this train take for the journey? Give your answer in hours and minutes
Solution
(i) To calculate the average speed of the train, we need to divide the total distance traveled by the time taken.
The distance between London and Edinburgh is 660 km.
The train took 5 hours 30 minutes to complete the journey.
To convert the time into hours, we need to convert the 30 minutes into hours.
30 minutes is equal to 0.5 hours (since there are 60 minutes in an hour).
So, the total time taken is 5.5 hours.
Now, we can calculate the average speed by dividing the distance by the time:
Average speed = Distance / Time
Average speed = 660 km / 5.5 hours
Average speed = 120 km/h
Therefore, the average speed of the train is 120 km/h.
(ii) To calculate the time taken by the second train, we can use the formula:
Time = Distance / Speed
The average speed of the second train is given as 150 km/h.
The distance between London and Edinburgh is 660 km.
Using the formula, we can calculate the time taken:
Time = 660 km / 150 km/h
Time = 4.4 hours
To convert the time into hours and minutes, we can multiply the decimal part (0.4) by 60 to get the minutes.
0.4 * 60 = 24 minutes
Therefore, the second train took 4 hours and 24 minutes to complete the journey.
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