a man runs a distance of 197.5 km in 200 minutes and he reduced his speed by 5 kmph in every 30 minutes. how much distance he will cover in 1 hour of his journey
in your problem statement the man is running at about 59 km/hr
you probably want to restate
Your data makes no sense!
How can he "run" almost 200 km in about 3 hours???
Fix your question before so it can be answered realistically.
To find out how much distance the man will cover in 1 hour of his journey, we need to analyze the given information.
First, we know that the man runs a distance of 197.5 km in 200 minutes. To find his average speed, we can use the formula:
Speed = Distance / Time
So, his average speed is: 197.5 km / 200 min = 0.9875 km/min
Next, we know that he reduces his speed by 5 km/h every 30 minutes. Since there are 60 minutes in an hour, we can calculate how many times this speed reduction occurs in 1 hour:
Number of speed reductions = 60 min / 30 min = 2 times
So, the man reduces his speed by 5 km/h, 2 times in 1 hour. Hence, his total speed reduction is 5 km/h × 2 = 10 km/h.
To calculate his final speed after the reduction, we subtract the total speed reduction from his average speed:
Final speed = Average speed - Total speed reduction.
Therefore, his final speed is: 0.9875 km/min - (10 km/h / 60 min) = 0.9875 km/min - 0.1667 km/min = 0.8208 km/min.
Now, to find out how much distance he will cover in 1 hour, we multiply his final speed by 60 minutes:
Distance covered in 1 hour = Final speed × 60 min.
Thus, the distance he will cover in 1 hour of his journey is: 0.8208 km/min × 60 min = 49.25 km.
Therefore, the man will cover a distance of 49.25 km in 1 hour of his journey.