Multiple choice

A and B run a 1760 m race ending in a dead heat. At first, A runs 20% faster than B. Then, B speeds up and for the remaining distance, he runs 20% faster than A. At the time B speeds up, A has already run

  1. 960 m

  2. 1000 m

  3. 790 m

  4. 990 m

  5. 880 m
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the speeds of A and B be vA and vB. Initially, vA = 1.2vB. Later, vB = 1.2vA. Since they finish at the same time, the time taken for each segment must balance. Solving the ratio of distances leads to A having run 960 m when B speeds up.

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