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Discussion

In a 100 m race, P can give Q 20 m and R 32 m. In the same race Q can give R:

  • A.19 m
  • B.22 m
  • C.15 m
  • D.10 m

Answer: C

P : Q = 100 : 80.
P : R = 100 : 68.
Q : R = Q/P * P/R
= (80/100) * (100/68)
= 80/68
When Q runs 80 m, R runs 68 m.
When Q runs 100 m, R runs ((68/80) * 100)m = 85m
Q can give R 15 m.

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