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

Faith Welch

Answered question

2022-07-31

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?

Answer & Explanation

Mira Spears

Mira Spears

Beginner2022-08-01Added 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

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?