A metro leaves after every 15 min .A person is running towards metro then he catches the metro after 12 min If the speed of the metro 16km/hr. Find speed of man.
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To find the speed of the person, we can use the concept of relative speed.
Let's assume the speed of the person is 'x' km/hr.
The metro is moving at a speed of 16 km/hr. Since the person catches the metro after 12 minutes (or 12/60 hours), we can calculate the distance covered by the metro in that time.
Distance covered by the metro = Speed of the metro × Time taken
= 16 km/hr × 12/60 hr
= 3.2 km
Now, the relative speed between the person and the metro will be the difference in their speeds:
Relative speed = Metro speed - Person's speed
Since the person catches the metro, the distance covered by the person will be the same as the distance covered by the metro:
Distance covered by the person = Distance covered by the metro
= 3.2 km
The time taken by the person to cover this distance is 12 minutes (or 12/60 hours).
Distance covered by the person = Speed of the person × Time taken
=> 3.2 km = x km/hr × 12/60 hr
=> 3.2 km = x/5 km/hr
Solving this equation, we can find the value of 'x':
x/5 = 3.2
x = 3.2 × 5
x = 16 km/hr
Therefore, the speed of the person is 16 km/hr.