Walking at the rate of 4 kmph, a man covers certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph, the man will cover the same distance in what time ?
Question
Walking at the rate of 4 kmph, a man covers certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph, the man will cover the same distance in what time ?
Solution
Step 1: First, we need to find out the total distance covered by the man. We know that distance = speed * time. Here, the speed is 4 kmph and the time is 2 hours 45 minutes. But we need to convert the time into hours completely. So, 45 minutes is 0.75 hours. Therefore, the total time in hours is 2.75 hours.
Step 2: Now, we can calculate the distance. So, distance = 4 kmph * 2.75 hours = 11 km.
Step 3: We need to find out the time taken to cover the same distance while running at a speed of 16.5 kmph. We know that time = distance / speed. So, time = 11 km / 16.5 kmph = 0.6667 hours.
Step 4: To convert this time from hours to minutes, we multiply by 60. So, time = 0.6667 hours * 60 = 40 minutes.
Therefore, the man will cover the same distance in 40 minutes if he runs at a speed of 16.5 kmph.
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