The swimming pool in an exclusive club is a circular strip. A water flow is artificially maintained in the strip, along a clockwise direction, at a constant speed of 3km/h (kilometers/hour). One morning, Ayub and Rana start swimming at the same time from two diametrically opposite points on the strip. Ayub swims in a counterclockwise direction, while Rana swims in a clockwise direction. They swim at constant, but different, speeds. When they meet again after Rana has covered 60m (meters), they meet again after Rana has covered 180m from the first meeting point.
If Rana swims at the speed of 3 km/h in still water, how long does Ayub take to complete one round of the circular strip, if he swims in the clockwise direction?
If Rana swims at the speed of 3 km/h in still water, how long does Ayub take to complete one round of the circular strip, if he swims in the clockwise direction?
Show Hint
- 1 minute 48 seconds
- None of the other options is correct
- 54 seconds
- 2 minutes 15 seconds
- 4 minutes 30 seconds
The Correct Option is A
Solution and Explanation
Let the circumference of the circular strip be \( C \). We are told that Ayub and Rana swim at different speeds and meet after covering 180m. If Ayub swims at a constant speed, we can calculate how long it takes Ayub to complete one round based on the distance and relative speeds.
Step 2: Speed relationship.
Rana's speed relative to Ayub is \( 3 \, \text{km/h} \), and Ayub covers 180 meters from the starting point.
Step 3: Time calculation.
Time taken by Ayub to swim around the circular strip is given by: \[ t = \frac{180 \, \text{m}}{\text{Relative speed of Ayub}} \]
Step 4: Conclusion.
The answer is 1 minute 48 seconds for Ayub to complete the round.
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