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CAT 2001 | Question: 36

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Three runners A, B and C run a race, with runner A finishing $12$ metres ahead of runner B and $18$ metres ahead of runner C, while runner B finishes $8$ metres ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

  1. $36$ meters 
  2. $48$ meters
  3. $60$ meters 
  4. $72$ meters

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Answer 48 meter

When B is 12 meters back from the finishing line A ends the race.

B went last 12 meters, when he gained 2 meters more from C (from 6 meters ahead to C when A finishes to 8 meters ahead to C when B finishes)

At the end of race B is  8 meters ahead from C

For 2 meter ahead from C, B needed to cover total 12 meters

"   8    "       "       "      C ,   B  "      "     "     " 12/2 *8 = 48 meters
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