In a 200 m race, A can beat B by 31 m and C by 18 m . In a race of C will beat B by:

Correct option is B

1. Understand the given information:

• A beats B by 31 meters in a 200-meter race. This means when A finishes the race, B has covered 200 - 31 = 169 meters.
• A beats C by 18 meters in a 200-meter race. This means when A finishes the race, C has covered 200 - 18 = 182 meters.

2. Determine the speed ratios:

• Let's assume the speeds of A, B, and C are represented as vA, vB, and vC, respectively.
• Since the time taken by A to finish the race is the same for B and C, we can set up the following ratios:
  • vA : vB = 200 : 169
  • vA : vC = 200 : 182

3. Find the speed ratio of B to C:

• To find the speed ratio of B to C, we can combine the above ratios:
  • vA : vB : vC = 200 : 169 : 182
  • Therefore, vB : vC = 169 : 182

4. Calculate the distance C will beat B in a 350-meter race:

• When C covers 182 meters, B covers 169 meters.
• When C covers 350 meters, B will cover: (169/182) * 350 = 325 meters
• Therefore, C will beat B by 350 - 325 = 25 meters in a 350-meter race.

Answer: C will beat B by 25 meters.