Multiple choice

Four persons Jem, Sem, Kem and Jesu participated in a race. All the four, i.e. Jem, Sem, Kem and Jesu are running with a uniform speed to get the first, second, third and fourth positions, respectively, in a 40 km race. If Jem beats Sem by 2 km and Sem beats Kem by 4 km, and Kem beats Jesu by 2 km, then by what distance does Jem beat Jesu?

  1. 8.50 km

  2. 7.51 km

  3. 6.50 km

  4. 5.60 km

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Jem beats Sem by 2 km in 40 km, so Jem:Sem = 40:38. Sem beats Kem by 4 km, so Sem:Kem = 40:36 = 10:9. Kem beats Jesu by 2 km, so Kem:Jesu = 40:38 = 20:19. Ratio Jem/Jesu = (40/38) * (40/36) * (40/38) = (20/19) * (10/9) * (20/19) = 4000 / 3249. Distance = 40 * (1 - 3249/4000) = 40 * (751/4000) = 7.51 km.