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"A pilot flew a jet from Montreal to Los Angeles, a distance of 3,000 miles. On the return trip the average speed was 20% faster than the outbound speed. The round trip took 8 hours 45 minutes. What was the speed from Montreal to Los Angeles?"
1 Answer
- Anonymous1 decade agoFavorite Answer
The two things that you need to solve for are speed to and speed from.
X = speed to LA
Y = speed to Montreal
You can relate the two because of your second sentence:
Y = 1.2X - this shows that the return trip was 20% faster
Now you can make an equation for the whole trip.
3000/X + 3000/Y = 8.75
(the distance divided by the speed equals the time)
replace the y with its value in x
3000/X + 3000/1.2X = 8.75
multiply through by x
3000 + 3000/1.2 = 8.75X
8.75X = 3000 + 2500
8.75X = 5500
X = 628.57 miles/hour = Speed from Montreal to LA!!!