A train travels a certain journey and is supposed to arrive at midday.when it's average speed is 48km/h it arrives at 11am. What is the length of the journey
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Step-by-step explanation:
Given
A train travels a certain journey and is supposed to arrive at midday.when it's average speed is 40 km/h it arrives at 1 pm . When its average speed is 48 km/hr it arrives at 11 am. What is the length of the journey.
Let d be the length of journey in km / h
Let t be time of journey going at 40 km/h
Let t – 2 be time of journey at 48 km/h. It is 2 hrs less.
Equation for first journey at 40 km/h
So d = 40 t
Equation for second journey at 48 km/h
So d = 48 (t – 2)
Solving for t we get
48(t – 2) = 40 t
48 t – 96 = 40 t
48 – 40 t = 96
8 t = 96
So t = 96 / 8
So t = 12
Now we need to find the distance
So d = 40 t
Now d = 40 (12)
So d = 480 km
Therefore the total length of the journey is 480 km.
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