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Ram swims in an 80 m long pool. He cover...

Ram swims in an 80 m long pool. He covers 160 m in one minute by swimming from one end to the other and back. 6 along the same straight path. Find his average speed

A

`2.07 ms^(-1)`

B

`2.60 ms^(-1)`

C

`3.67 ms^(-1)`

D

`2.67 ms^(-1)`

Text Solution

AI Generated Solution

The correct Answer is:
To find Ram's average speed, we can follow these steps: ### Step 1: Determine the total distance covered Ram swims from one end of the pool to the other and then back. The length of the pool is 80 meters. Therefore, the total distance covered is: - Distance from one end to the other = 80 m - Distance back to the starting point = 80 m - Total distance = 80 m + 80 m = 160 m ### Step 2: Determine the total time taken The problem states that Ram covers this distance in 1 minute. We need to convert this time into seconds for our calculations: - 1 minute = 60 seconds ### Step 3: Calculate the average speed Average speed is calculated using the formula: \[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \] Substituting the values we have: - Total Distance = 160 m - Total Time = 60 seconds So, \[ \text{Average Speed} = \frac{160 \text{ m}}{60 \text{ sec}} \] ### Step 4: Simplify the calculation Now, we can simplify the fraction: \[ \text{Average Speed} = \frac{160}{60} \] \[ \text{Average Speed} = \frac{16}{6} \] \[ \text{Average Speed} = \frac{8}{3} \] \[ \text{Average Speed} \approx 2.67 \text{ m/sec} \] ### Conclusion Thus, Ram's average speed is approximately 2.67 m/sec. ---
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