Diane swim 5 kilometers against the current in the same amout of time it took her to swim 15 kilometers with the current . The rate of the current was 2 kilometers per hour. How fast would diane swim if there were no current?

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Answer:4 km/hr

Explanation:suppose ‘s’ is Diane’s speed with no current.

‘t’ represents time in hrs.

Using the formula:

Distance = speed ‘s’ x time ‘t’

-> when she swims against the current, equation will be,

5= (s-2)t

t= 5/(s-2)

->when she was swimming with the current, equation is,

15= (s+2) t

t= 15/(s+2)

equating eq(1) and (2)

5/(s-2) = 15/(s+2)

5s + 10 = 15s – 30

40= 10s

s= 40/10

s=4

Therefore, if there were no current, her speed is 4km/hr