ICE train
German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 110 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the average train speed for both journeys would be 200 km/h? (The task is from the customer magazine of German Railways)
Final Answer:

Showing 1 comment:
Dr Math
infinite speed is due that train goes first half at 100 km/h so it cannot achieve average speed 200 km/h, only if second half from Munich take 0 seconds (faster that speed of light)
Tips for related online calculators
Looking for calculator of harmonic mean?
Looking for a statistical calculator?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?
Looking for a statistical calculator?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?
You need to know the following knowledge to solve this word math problem:
statisticsalgebrabasic operations and conceptsUnits of physical quantitiesthemes, topicsGrade of the word problem
Related math problems and questions:
- Journey to spa
Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return? - Runner 6
A runner runs the first lap of a circuit at an average speed of 5 km/h. At what speed must the second lap of the same circuit be run so that the average speed of both laps is 10 km/h? - Distance between two cities
The car went from A to B in 4 hours. The car was up 15 km/h faster on the way back. The return trip took 48 minutes shorter than the way there. Find the distance of cities A and B. - Trolleybus
Trolleybus line No. 215 measured 30 km. If the trolley bus goes faster by 4 km/h, the way there and back would be shorter by 39 minutes. Calculate the trolley bus speed and time for a return trip. - Brigade - railing
Jonza and Ondřej had the task of painting 1,000 pieces of processed wooden railing parts on a joint brigade. On the first day, Honza painted 153/1,000, Ondřej 14/100. Which of the boys worked faster? How many pieces still need to be painted? Estimate how - Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 213 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea - Three legs journey
A train runs for 3 h at the speed of 40 km/h and then for 4.5 h at the speed of 60 km/h.Thus it covers 3/5th part of the whole distance. It wants to cover the remaining distance in 4 h, find the average speed of the train for remaining distance.
