on a 60 km track a train travels 1st 30 km with an uniform speed of 30km/hr but the driver wants to maintain an average velocity of 40km/hr for the total journey. at what uniform speed must the train travel the rest 30km to achieve the required average speed for total travel?
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Explanation:
Answer:-
Explanation:
Given:-
Total Distance (d) = 60 km
Speed (v₁) during the 1st half journey = 30 km/h
Average Speed = 40 km/h
To Calculate:-
Speed (v₂) for the 2nd half = ???
Formula To be used:-
Average Speed = \frac{Total \: Distance}{Total \: Time}
TotalTime
TotalDistance
Solution:-
Average Speed = \frac{Total \: Distance}{Total \: Time}
TotalTime
TotalDistance
Average Speed = Total Distance/ t₁ + t₂
Where t₁ = 30/30 = 1 h
40 = \frac{60}{1+\frac{30}{v} }
1+
v
30
60
40 (v + 30) = 60 v
v = 60 km/h
Hence, The answer is 60 km/h.
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