Q A boats crew rowed 18 miles downstream with the current in

Q: A boat\'s crew rowed 18 miles downstream, with the current, in 2 hours. The return trip upstream, against the current, covered the same distance, but took 4.5 hours. Find the crew\'s rowing rate in still water and the rate of the current.

a) what is the crew\'s rowing rate in still water (in miles per hour)?
b) what is the rate of the current (in miles per hour)?


Q: A boat\'s crew rowed 18 miles downstream, with the current, in 2 hours. The return trip upstream, against the current, covered the same distance, but took 4.5 hours. Find the crew\'s rowing rate in still water and the rate of the current.

a) what is the crew\'s rowing rate in still water (in miles per hour)?
b) what is the rate of the current (in miles per hour)?


Q: A boat\'s crew rowed 18 miles downstream, with the current, in 2 hours. The return trip upstream, against the current, covered the same distance, but took 4.5 hours. Find the crew\'s rowing rate in still water and the rate of the current.

a) what is the crew\'s rowing rate in still water (in miles per hour)?
b) what is the rate of the current (in miles per hour)?


Q: A boat\'s crew rowed 18 miles downstream, with the current, in 2 hours. The return trip upstream, against the current, covered the same distance, but took 4.5 hours. Find the crew\'s rowing rate in still water and the rate of the current.

b) what is the rate of the current (in miles per hour)?


Solution

upstream
distance = 18 miles
speed = x-y mph
time = 18/(x-y)= 4.5hours
18=4.5(x-y)
divide by 4.5
x-y =4

ownstream
distance = 18 miles
speed = x+y
time = 18/(x+y)=2
18=2(x+y)
/2
x+y=9................................2
add 1 & 2
2x=13
/2
x=6.5 mph

speed of boat
plug value of x in equation 1
we get y= 2.5 mph

 Q: A boat\'s crew rowed 18 miles downstream, with the current, in 2 hours. The return trip upstream, against the current, covered the same distance, but took 4

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