Question

on 60 km track ,a train travels the first 30 km at a uniform speed of 30 km/h .how fast must the train travel the next 30 km so that the average speed is 40km/h forthe entire trip?

Answer 1

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Answer 2

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 = $\frac{Total \: Distance}{Total \: Time}$

Solution:-

Average Speed = $\frac{Total \: Distance}{Total \: Time}$

Average Speed = Total Distance/ t₁ + t₂

Where t₁ = 30/30 = 1 h

40 = $\frac{60}{1+\frac{30}{v} }$

40 (v + 30) = 60 v

v = 60 km/h

Hence, The answer is 60 km/h.