Question 134562
It takes a plane 40 min more to fly from Boston to Los Angeles at 525mi/h than it does to return at 600 mi/h. How far apart are the cities?
:
You seem to have the correct method, however,
40 min = 40/60 = 2/3 hr, (not .6 hrs)
:
You correctly wrote an equal distance equation: Dist = speed * time
600t = 525(t + 2/3)
600t = 525t + 350; (not 315)
600t - 525t = 350
75t = 350
t = 350/75
t = 4.6667 hrs
:
They are asking you to find the distance:
We will use decimals here:
4.6667 * 600 = 2800 mi
:
Check solution using the speed of 525 mph
525(4.667 + .667) = 2800 mi also