Duplicate head-start scenario (sanity check): In a 500 m race, speeds of A and B are in the ratio 3 : 4. A has a start of 140 m. By how many metres does A win?

Question

Solve this multiple-choice question and choose the correct option.

Curioustab · Accepted Answer

Introduction / Context:This repeats the earlier head-start calculation to confirm consistency across similar items. Given Data / Assumptions:Race 500 m; A has 140 m start → A runs 360 m. Speeds A:B = 3:4. Concept / Approach:B covers (4/3) times A’s distance in the same time. Compute B’s position when A finishes 360 m. Step-by-Step Solution: B's distance at A's finish = (4/3)*360 = 480 mWin margin = 500 − 480 = 20 m Verification / Alternative check:Consistent with proportional reasoning across similar tasks. Why Other Options Are Wrong:Mismatch the exact ratio implication. Common Pitfalls:Ignoring the head-start in required distance for A. Final Answer:20 m

Duplicate head-start scenario (sanity check): In a 500 m race, speeds of A and B are in the ratio 3 : 4. A has a start of 140 m. By how many metres does A win?

Answer

Explanation