Answer :
Answer:
69 mph
Step-by-step explanation:
Let the speed of boat be x hence speed downstream is x+3 but speed upstream will be x-3
Speed is distance per unit time and time is same hence
[tex]\frac {22}{x-3}=\frac {24}{x+3}[/tex]
24(x-3)=22(x+3)
24x-72=22x+66
2x=138
X=138/2=69
Therefore, the speed of boat is 69 miles per hour
Answer:
Step-by-step explanation:
The boat in the problem travels different distances at different rates, but in the same amount of time for each trip. Distance is rate times time, d=r⋅t, which, solving for t, becomes
t=dr.
The trip against the current has rate r=s−3, so the time it takes to complete the trip is
t=20s−3.
The time it takes to complete the trip with the current is
t=22s+3.
The time to complete each trip is the same, so set the fractions equal to each other.
20s−3=22s+3
Multiply each side by (s−3)(s+3).
20(s−3)(s+3)(s−3)=22(s−3)(s+3)(s+3)
Simplify.
20(s+3)=22(s−3)
Distribute coefficients.
20s+60=22s−66
Combine like terms.
2s=126
Divide each side by 2 to find the solution,
s=63 mph.