Mathematics, 28.07.2019 14:00 michelemosbahiow6yya

Traveled downstream a distance of 33 mi and then came right back. if the speed of the current was 12mph and the total trip took 3 hours and 40 minutes, find the average speed of the boat relative to the water. the boat had an average of what speed in mph?

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Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11( s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.

Answer from: Quest

answer: n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11

+5 +5

2n ≥ -6

2/2 ≤ -6/2

n ≤ -3

-6 - 10n > 44

+6 +6

-10n > 50

-10/-10 50/-10

n < -5

Compound inequalities. , i’m being timed

Answer from: Quest

Subtracting is the opposite of adding

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