Multiple choice

5 members of a team are weighed consecutively and their average weight calculated after each member is weighted. If the average weight increases by one kg each time, how much heavier is the last player than the first one?

  1. 4 kg.

  2. 20 kg.

  3. 8 kg.

  4. 5 kg.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the 5 members' weights be w1, w2, w3, w4, w5. After 1st person: avg = w1. After 2nd: avg = (w1+w2)/2 = w1+1, so w2 = w1+2. After 3rd: avg = (w1+w2+w3)/3 = w1+2, so w3 = w1+4. After 4th: w4 = w1+6. After 5th: w5 = w1+8. Last player (w5) is 8 kg heavier than first (w1). Answer is correct.

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