the train travels the first 30km of 120 km track with uniform speed of 30km/hr.What should be speed of the train To cover the remaining distance of the track so that is its average speed is 60 km/ hr for entire trip?
Answers
Answer:
Step-by-step explanation:
distance d1 = 30 km, v1 = 30 kmph
=> time taken = t1 = d1/v1 = 1 hour
So distance remaining = d2 = 120 - d1 = 90 km
let speed to cover distance d2 = v2 kmph
=> time taken = d2/v2 = 90/v2 hours
average speed = total distance / total duration of time
60 kmph = 120 km / [1 hour + 90 / v2 hours]
=> 1 = 2 / [ 1 + 90 / v2 ] => v2 =90kmph ====================================
Answer:
The speed of the train should be 90 km/hr to cover the remaining distance of the track so that its average speed is 60 km/hr for the entire trip.
Step-by-step explanation:
Let the 30 km/hr speed be V1
and, another speed be V2
Average Speed = V1 + V2 / 2
60 = 30 + V2 / 2 => 120 = 30 + V2
=> V2 = 120 - 30 = 90{answer}.
VERIFICATION:
Average speed = V1 + V2 / 2
=> 60 = 30 + 90 / 2
=> 60 = 120 / 2 => 60 = 60 {verified}.
THIS WAS A SIMPLE PROCESS. SO,
PLEASE SELECT MY ANSWER AS THE BRAINLIEST ANSWER.