To find: The speeds of the swimmer and the current in which he/she swims.
The speed of swimmer and current is 50 meter/minute 16.67 meter/minute respectively.
Given data:
The swimmer swims 1000 meters downstream in 15 minutes and against the current in 30 minutes.
Method/Formula used:
Let the speed of swimmer is S and that of current C . Then the relative or effective downstream speed of swimmer is
Time taken swimming downstream
Time taken swimming against current
Calculation:
The swimmer swims 1000 meters downstream in 15 minutes, so substitute 1000 meter for
Therefore,
The swimmer swims 1000 meters against the current in 30 minutes, so substitute 1000 meter for
Therefore,
Adding equation (3) and (4):
Solve further,
Subtract equation (4) from equation (3),
Solve further,
Thus, the speed of the swimmer is 50 meter/minute and that of current 16.67 meter/minute.
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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