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alanis337455p4xzek
22.11.2019 •
Mathematics
On a windy day william found that he could travel 10 mi downstream and then 2 mi back
upstream at top speed in a total of 16 min. what was the top speed of william's boat if the rate
of the current was 30 mph? (let x represent the rate of the boat in still water.)
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Ответ:
The top speed of William's boat was 45 mph
Step-by-step explanation:
Let
x -----> represent the rate of the boat in still water in mph
we know that
The speed or rate is equal to divide the distance by the time
speed=distance /time
time=distance/speed
Downstream
speed=(30+x) mph
distance=10 mi
time1=10/(30+x)
Upstream
speed=(x-30) mph
distance=2 mi
time2=2/(x-30)
The sum of the time downstream plus the time upstream must be equal to 16 minutes
Convert minutes to hours
Multiply by (x+30)(x-30) both sides
Multiply by 60 both sides
Divide by 16 both sides
The solution is x=45\ mph
Ответ:
Option 2,3 and 4. Step-by-step explanation: Ratio and proportion are complementary. Proportions are made from ratios. Option 2 is correct that is Corresponding dimensions must be in same position in the ratios. Option 3 is correct two ratios in the proportion are equal Option 4 is correct that is enlargement or reduction is proportional to the original figure
Step-by-step explanation:
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