A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
Question
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
Solution 1
Step 1: Convert the speed of A from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, A's speed = 5*(5/18) = 25/18 m/s.
Step 2: Calculate the time taken by A to cover 100m. Time = Distance/Speed = 100/(25/18) = 72 seconds.
Step 3: Since A beats B by 8 seconds, the time taken by B to run 100m - 8m = 92m is 72 + 8 = 80 seconds.
Step 4: Now, we can find the speed of B. Speed = Distance/Time = 92/80 = 1.15 m/s.
Step 5: Convert the speed of B from m/s to km/hr. We know that 1 m/s = 18/5 km/hr. So, B's speed = 1.15*(18/5) = 4.14 km/hr.
So, the speed of B is approximately 4.14 km/hr.
Solution 2
Step 1: Convert the speed of A from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, A's speed = 5*(5/18) = 25/18 m/s.
Step 2: Calculate the time taken by A to cover the 100m. Time = Distance/Speed = 100/(25/18) = 72 seconds.
Step 3: Since A beats B by 8 seconds, B takes 72 + 8 = 80 seconds to run the race.
Step 4: Now, we know that B starts 8m ahead. So, the actual distance covered by B is 100 - 8 = 92m.
Step 5: Calculate the speed of B. Speed = Distance/Time = 92/80 = 1.15 m/s.
Step 6: Convert the speed of B from m/s to km/hr. We know that 1 m/s = 18/5 km/hr. So, B's speed = 1.15*(18/5) = 4.14 km/hr.
So, the speed of B is approximately 4.14 km/hr.
Solution 3
Step 1: Convert the speed of A from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, A's speed = 5*(5/18) = 25/18 m/s.
Step 2: Calculate the time taken by A to cover the 100m distance. We know that time = distance/speed. So, A's time = 100/(25/18) = 72 seconds.
Step 3: Since A beats B by 8 seconds, B takes 72 + 8 = 80 seconds to run the race.
Step 4: However, B was given a start of 8m. So, the actual distance covered by B in the race is 100 - 8 = 92m.
Step 5: Now, we can calculate B's speed. We know that speed = distance/time. So, B's speed = 92/80 = 1.15 m/s.
Step 6: Convert B's speed from m/s to km/hr. We know that 1 m/s = 18/5 km/hr. So, B's speed = 1.15*(18/5) = 4.14 km/hr.
So, the speed of B is approximately 4.14 km/hr.
Solution 4
Step 1: Convert the speed of A from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, A's speed = 5*(5/18) = 25/18 m/s.
Step 2: The time taken by A to cover the 100m distance is Distance/Speed = 100/(25/18) = 72 seconds.
Step 3: Given that A beats B by 8 seconds, this means B takes 72 + 8 = 80 seconds to run 100m - 8m = 92m.
Step 4: Now, we can find B's speed by dividing the distance he ran by the time he took. So, B's speed = 92/80 = 1.15 m/s.
Step 5: Convert B's speed from m/s to km/hr. We know that 1 m/s = 18/5 km/hr. So, B's speed = 1.15*(18/5) = 4.14 km/hr.
So, the speed of B is approximately 4.14 km/hr.
Solution 5
Step 1: Convert the speed of A from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, A's speed = 5*(5/18) = 25/18 m/s.
Step 2: Calculate the time taken by A to cover the 100m distance. Time = Distance/Speed = 100/(25/18) = 72 seconds.
Step 3: Since A beats B by 8 seconds, the time taken by B to cover the distance (100-8) m is 72 seconds.
Step 4: Calculate the speed of B. Speed = Distance/Time = 92/72 = 23/18 m/s.
Step 5: Convert the speed of B from m/s to km/hr. We know that 1 m/s = 18/5 km/hr. So, B's speed = (23/18)*(18/5) = 23/5 = 4.6 km/hr.
So, the speed of B is 4.6 km/hr.
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