SOLUTION: In a journey of 1000 km a train covers the first 600 km at 60k/m per hour and the remaining distance at 40 kilometre per hour calculate the average speed of the train during the wh

Algebra.Com
Question 1121884: In a journey of 1000 km a train covers the first 600 km at 60k/m per hour and the remaining distance at 40 kilometre per hour calculate the average speed of the train during the whole journey
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the train covers the first 600 kilometers at 60 kilometers per hour.

the train covers the second 400 kilometers at 40 kilometers per hour.

rate * time = distance.

for the first 600 kilometers, the formula becomes 60 * time = 600

solve for time to get time = 600 / 60 = 10 hours.

for the last 400 kilometers, the formula becomes 40 * time = 400.

solve for time to get time = 400 / 40 = 10 hours.

the total time for the 1000 kilometers is 10 + 10 = 20 hours.

rate * time = distance becomes rate * 20 = 1000.

solve for rate to get rate = 1000 / 20 = 50 kilometers per hour.

the average speed of the train for the whole journey is 50 kilometers per hour.


RELATED QUESTIONS

a train covers a distance of 720 km at a speed of x km/h. On the return journey, it... (answered by macston)
A train travels for 5 hours.The first half of the distance at 40 kmph and remaining... (answered by Alan3354)
a man covers a distance of 24 km in 3.5 hours partly on foot at speed of 4.5 km per... (answered by ankor@dixie-net.com)
some part of a journey of 780 km was made by a car with speed of 60 km per hour and the... (answered by josgarithmetic,MathTherapy)
A man travelled from point A to point B by car at a speed of 40 km. per hour and returned (answered by richwmiller)
A train covers a distance of 720km at a speed of x km/h. On the return trip it travels... (answered by macston)
Ed goes on a car journey. the first 60 km of the journey takes 45 minutes. the remaining... (answered by ankor@dixie-net.com)
A distance of 33 KM is covered in 1 hr. 12 minutes. If the first 15 KM is covered at the... (answered by lwsshak3)
a driver travels the first 120 km of a 200-km journey at an average speed of 40 km/h. he... (answered by josgarithmetic)