Debra swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Debra swim if there were no current?

Faith Welch 2022-07-31 Answered
Debra swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Debra swim if there were no current?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Mira Spears
Answered 2022-08-01 Author has 14 answers
As given rate of current was 2 Km per hour
Let the speed of Debra in still water is u km per hour.
Let the time taken by Debra for swimming 4 km against current =t hours
Time taken by Debra for swimming 12 km with current =t hours also as given it is same
Speed of Debra with current =u+2 km /hour
Speed of Debra against current =u -2 km/hour
t = 4 u 2 = 12 u + 2
Cross multiplying
4 ( u + 2 ) = 12 ( u 2 ) 4 u + 8 = 12 u 24 32 = 8 u
u =4 km per hour
Debra 's speed if no current =4 km per hour
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions