Question 1110610
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x + y = 250                     (1)      (x = the distance traveled at 60 mph)

{{{y/70}}} = {{{2*(x/60))}}}                    (2)      (he spent twice as much time traveling at the faster speed)


x    +   y = 250                (1')
140x - 60y =   0                (2')


Multiply eq(1') by 60 (both sides). You will get


 60x + 60y = 250*60
140x - 60y =      0
-------------------------------Add the equations

200x = 250*60  ====>  2x = 25*6  ====>  x = 25*3 = 75.


<U>Answer</U>.  75 miles at the rate of 60 mph and the rest 250 - 75 = 175 miles at the rate 70 mph.


<U>Check</U>.  {{{75/60}}} = 1.25  hours.   {{{175/70}}} = 2.5 hours = 2 times 1.25 hours.   ! Correct !
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The solution by the other tutor is INCORRECT.