Answer:
5 kmph
Step-by-step explanation:
Given: Greg swam 4 kilometers against the current.
Greg swam 16 kilometers with the current.
Rate of the current was 3kmph.
Lets assume the speed of greg swimming with no current be "x".
∴ Speed of swimming against current= [tex](x-3)\ kmph[/tex]
Speed of swimming with current= [tex](x+3)\ kmph[/tex]
As given, it took same amount of time to swim both with current and against current.
∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.
We know, [tex]Time= \frac{Distance}{Speed}[/tex]
⇒ [tex]\frac{4}{(x-3)} = \frac{16}{(x+3)}[/tex]
Multiplying both side by (x+3) and (x-3)
⇒[tex]4\times (x+3)= 16\times (x-3)[/tex]
Using distributive property of multiplication.
⇒ [tex]4x+12= 16x-48[/tex]
Subtracting both side by 4x and adding by 48.
⇒[tex]60= 12x[/tex]
Dividing both side by 12
⇒[tex]x= \frac{60}{12} = 5\ kmph[/tex]
Hence, Greg can swim at the rate of 5kmph with no current.
