A man walking at the rate of 6 km/hr crosses a bridge in 15 minutes. The…

Step-by-Step Solution

To find the length of the bridge, we need to calculate the distance traveled. The formula for distance is Distance = Speed × Time. Before calculating, we must ensure the units for speed and time are consistent.

1. Convert speed from km/hr to m/s:

   • Speed = 6 km/hr

   • Since 1 km = 1000 m and 1 hr = 3600 s, we multiply by 5/18.

   • Speed = 6 × (5/18) m/s = 30/18 m/s = 5/3 m/s.

2. Convert time from minutes to seconds:

   • Time = 15 minutes

   • Since 1 minute = 60 seconds,

   • Time = 15 × 60 = 900 seconds.

3. Calculate the distance (Length of the bridge):

   • Distance = Speed × Time

   • Distance = (5/3) m/s × 900 s

   • Distance = 5 × 300 = 1500 meters.