Answer :
Answer:
The speed of the boat in still water is 13 miles/hour.
The speed of the current is 6 miles/hour.
Step-by-step explanation:
Let the speed of the boat in still water be x
And speed of the current be y
When Irena's travelling downstream, the speed of the boat is:
[tex]Speed=\frac{76 miles}{4 hours}=19 miles/hour[/tex]
Traveling down stream the speed of the boat will be :
[tex]x+y=19[/tex]..(1)
When Irena's travelling upstream, the speed of the boat is:
Time taken by boat = 5 hours and 30 min = 5.5 hours (1 hour = 60 min)
[tex]Speed=\frac{38.5 miles}{5.5 hours hours}=7 miles/hour[/tex]
Traveling down stream the peed of the boat will be :
[tex]x-y=7[/tex]..(2)
On Solving both equation (1)and (2).
[tex]x+y=19[/tex]
[tex]x=19-y[/tex] putting value of x in (2) equation
[tex]19-y-y=7[/tex]
y = 6 miles/hour
Putting value of y in (1) equation:
[tex]x+6=19[/tex] , x = 13 miles/hour
The speed of the boat in still water is 13 miles/hour.
The speed of the current is 6 miles/hour.
Answer:
The speed of the boat in still water is 13 miles/hour.
The speed of the current is 6 miles/hour.
Step-by-step explanation:
Let the speed of the boat in still water be x
And speed of the current be y
As we know [tex]speed=\frac{distance}{time}[/tex]
[tex]speed=\frac{76}{4}[/tex]
[tex]\Rightarrow speed=19[/tex]
So, since boat travelled downstream
x+y=19 (a)
Time taken by boat = 5 hours and 30 min = 5.5 hours (1 hour = 60 min)
[tex]speed=\frac{38.5}{5.5}=7[/tex]
Traveling upstream speed of the boat will be :
x-y=7 (b)
On Solving both equations (a)and (b).
Substituting value of x in (b) equation we get:
19-y-y=7
-2y=-12
y=6
Now, substituting value of y=6 in (a) equation:
x+6=19
x=13
The speed of the boat in still water is 13 miles/hour.
And speed of current will be 6 miles/hour.