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Explanation & Answer
Let s be the actual speed
Time taken
336/ s
faster speed = s + 6
faster time
336/ (s +6)
Diffrence in time =1
336/s - 336/ (s +6) =1
336/ s -1 = 336/ (s +6)
336 – s = 336
s (s + 6)
(336 – s ) (s + 6) = 336 s
336 s + 2016 – s² – 6s = 336 s
s² +6s - 2016 = 0
s = -6 + 90
2
= 84/2
= 42 mph
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