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
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 \[70km/h\]
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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