Calculating the Time Taken to Walk 26.4 km

To calculate the time taken to walk 26.4 km, we need to know the walking speed of the man. Given that the man walks 110 meters in a minute, we can use this information to determine his speed in meters per second. Once we have his speed in meters per second, we can convert the distance of 26.4 km into meters and divide it by the speed to find the time taken.

Step 1: Calculate the Speed

The speed of the man can be calculated using the formula: speed = distance/time. Given that he walks 110 meters in a minute, we can plug in these values to find his speed in meters per second.

Speed = 110 meters/1 minute

To convert the speed from minutes to seconds, we need to multiply the numerator and denominator by 60.

Speed = (110 meters/1 minute) * (60 seconds/1 minute)
Speed = 110 meters/60 seconds
Speed = 1.83 meters/second

Step 2: Convert Distance to Meters

To calculate the time taken, we need to convert the distance of 26.4 km into meters. Since 1 kilometer is equal to 1000 meters, we can multiply the distance by 1000 to convert it to meters.

Distance in meters = 26.4 km * 1000 meters/km
Distance in meters = 26,400 meters

Step 3: Calculate the Time Taken

Now that we have the speed in meters per second (1.83 meters/second) and the distance in meters (26,400 meters), we can calculate the time taken using the formula: time = distance/speed.

Time = 26,400 meters/1.83 meters/second
Time ≈ 14,426.23 seconds

Step 4: Convert Time to Minutes

To convert the time from seconds to minutes, we divide the time by 60.

Time in minutes = 14,426.23 seconds/60 seconds/minute
Time in minutes ≈ 240.44 minutes

Therefore, it will take approximately 240.44 minutes for the man to walk 26.4 km.

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