Question 1209176
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The response from the other tutor shows a few methods for solving the problem which are all variations of the standard algebraic method.<br>
Here is a non-standard and very different method which I personally prefer for solving this particular kind of problem.<br>
The distances both directions are the same; the ratio of the speeds in the two directions is 4:6 = 2:3.  That means that the ratio of times at the two speeds is 3:2.<br>
The ratio of the time spent at 4 km/h to the time spent at 6 km/h is 3:2, and the total time is 45 minutes.  Use mental arithmetic or any formal process you want to find that he spent 27 minutes at 4 km/h and 18 minutes at 6 km/h.<br>
The number of kilometers traveled at 4 km/h for 27 minutes or 9/20 hours is 4*9/20 = 36/20 = 1.8.<br>
So the distance traveled from A to B and back is 2*1.8 = 3.6 km.<br>
ANSWER: 3.6 km (total distance traveled)<br>
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For tutor @math_tutor2020....<br>
Your calculations all show that 1.8km is the ONE WAY distance, not the total distance traveled....<br>