Answer:
20 mph and 4 mph
Step-by-step explanation:
GIVEN: A boat travels upstream for [tex]48[/tex] miles in [tex]3[/tex] hours and returns in [tex]2[/tex] hours traveling downstream in a river.
TO FIND: What is the rate of the boat in still water and the rate of the current.
SOLUTION:
Let the speed of boat in still water be [tex]s[/tex] and speed of current be [tex]a[/tex].
[tex]\therefore[/tex] speed of water in upstream [tex]=s+a[/tex]
speed of water in downstream [tex]=s-a[/tex]
As [tex]speed=\frac{distance}{time}[/tex]
[tex]s+a=\frac{48}{3}=16[/tex]
[tex]s-a=\frac{48}{2}=24[/tex]
Solving both we get
[tex]s=20\text{ mph}[/tex]
[tex]a=4\text{ mph}[/tex]
Hence speed of boat in still water and rate of current is 20mph and 4mph respectively.
