SOLUTION: A Jet flew from Montreal to San-Francisco, a distance of 4000 km. On the return trip the speed was increased by 300km/h. If the total trip took 13h, what was the speed from Montre

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Question 257355: A Jet flew from Montreal to San-Francisco, a distance of 4000 km. On the return
trip the speed was increased by 300km/h. If the total trip took 13h, what was the speed from Montreal to San-Francisco?

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
This is an RTD problem. We can create a table based on the given information
JET . . . . . . rate . . . . . . . . . .time . . . . . . . . . . . . . . . . distance
m->s . . . . R . . . . . . . . . . . .4000/R . . . . . . . . . . .. . . .. 4000
s->m . . . . R + 300 . . . . . . .4000/(R + 300) . . . . . . .. . .4000
totals . . . . . . . . . . . .. . . . . .. . .13
So, from the table, we get

multiply by common denominator to get

simplifying, we get

setting = 0, we get

By quadratic, we get
R = 500

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