SOLUTION: A train travels at 60 mph for x hours and at 70mph for y hours. It travels a distance of 290 miles and its average speed is 64mph. Find the times x and y to the nearest minute.

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Question 796345: A train travels at 60 mph for x hours and at 70mph for y hours.
It travels a distance of 290 miles and its average speed is 64mph.
Find the times x and y to the nearest minute.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A train travels at 60 mph for x hours and at 70mph for y hours.
It travels a distance of 290 miles and its average speed is 64mph.
Find the times x and y to the nearest minute.
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60x + 70y = 290 (total distance)
t = d/r = 290/64 (total time)
x + y = 290/64 (total time) = 145/32
6x + 7y = 29 (total distance)
6x + 6y = 870/32 (6x time equation)
--------------------------------------- Subtract
y = 29 - 870/32 = 58/32 hours
y = 109 minutes
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x = 87/32 hours
x = 163 minutes