A train covers 150 km in 3 hours , next 125 km in 2 hours and last 180 km in 3 hours 30 minutes . Find the average speed of the train .
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Solution
Given:-
- A train covers 150 km in 3 hours , next 125 km in 2 hours and last 180 km in 3 hours 30 minutes
Find :-
- Average speed of train
Explanation
Using Formula
★ Speed = Distance/Time
We Calculate in three steps of speed trains,
Steps 1.
- Distance = 150 km
- Time = 3 hours
==> Speed of train = 150/3
==> Speed of train = 50 km/h
Steps 2.
- Distance = 125 km
- Time = 2 hours
==> Speed of train = 125/2
==> Speed of train = 62.5 km/h
Steps 3.
- Distance = 180 km
- Time = 3 hours 30 minutes = 210 minutes
==> Speed of train = 180/210
==> Speed of train = 6/7 kh/m
Or,
==> Speed of train = 6 × 60/7
==> Speed of train = 360/7
==> Speed of train = 51.42 km/h
Now, Calculate average speed of train.
==> Average Speed of train = (50+62.5+51.42)/3
==> Average Speed of train = 163.82/3
==> Average Speed of train = 54.60
Hence
- Average Speed of train = 54.60. km/h
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