Question 1163446
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Suppose you travel north at 15 kilometers per hour for 2 hours then travel east. If at one place {{{cross(he)}}} {{{cross(is)}}} you are 34 kilometers from your starting point, how many hours have you traveled?<br>
The statement of the problem is deficient -- it must specify that the speed going east is the same as the speed going north.  In order to solve the problem, we must assume that is the case.<br>
A diagram of the problem will show you going 30 kilometers north (2 hours at 15km/h), then traveling east for some distance, ending 34 kilometers from your starting point.<br>
That makes a right triangle with one leg 30 and hypotenuse 34.  Use the Pythagorean Theorem to find the length of the other leg.<br>
Then use that length and the speed of 15km/h to find the amount of time spent traveling east.<br>
Then add that to the 2 hours you spent traveling north to find the total time traveled.<br>