9303753286127016 On a 60km track, a train travels the first 30km with a speed of 30kmh−1 . How fast must the train travel the next 30km so as to average 40kmh−1 for the whole trip?

On a 60km track, a train travels the first 30km with a speed of 30kmh−1 . How fast must the train travel the next 30km so as to average 40kmh−1 for the whole trip?

 It is given that the first 30km is traveled with the speed 30kmh−1 , let us consider that the speed with which the next 30km is travelled be xkmh−1

Now as we know that time=distance/speed

This implies the time t1 taken to travel the first 30km will be

t1 = 30km/30kmh−1 = 1h

The time taken to travel the next 30km will be

t2=30km/xkmh−1 = 30/x h

Now as the average speed for the whole trip is 40kmh−1 , so, average time taken for whole trip is

t = 60km/40kmh−1 = 3/2h

This implies 1h+30/x h = 3/2h

Further solving for the value of x ,

we get ⇒ 30/x = 1/2

⇒ x = 60 Thus, the train travels the next 30km with the speed 60kmh−1

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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