Math, asked by BangtanXArmy0t7, 9 days ago

He distance between Delhi and Agra is 200 km. A train travels the first 100 km at a speed of 50 km/h. How fast must the train travel the next 100 km, so as to average 70 km/h for the whole journey?​


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I am going to do my school homework
Anybody want to write something

Answers

Answered by sandhyamanojarmy2011
12

Answer:

Hi army,

This is the answer for your question

The train needs to travel with a speed of \[116.66km/h\] during the second half of the travel to make the average speed of the train \[70km/h\]

Answered by 44Misty02
10

Answer:

Let's find the time taken by train to travel each part of the distance.

For the first 100 km:

Distance = 100 km

Speed = 50 km/h

Time = Distance/Speed = 100/50 = 2 h

For the second(next) 100 km:

Let the speed of the train be 's' km/h

Distance = 100 km

Time = Distance/Speed = 100/s

Now, as we know that:

Average speed = Total distance traveled/ Total time taken

where, Average speed = 70 km/h

Total distance travelled = 200 km

Total time taken = 2 + 100/s

Substituting these values in the average speed equation, we get:

Average speed = Total distance traveled/ Total time taken

or, 70 = 200/ (2 + 100/s)

or, 70 × (2 + 100/s) = 200

or, 140 + 7000/s = 200

or, 7000/s = 60

or, s = 7000/60 = 116.67 km/h

Step-by-step explanation:

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