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In a flat race, A beats B by 15 m and C by 29 m. When B and C run over the same course together, B wins by 15 m. The length of the course is

Solution

✅ Correct Option: 3

Let the length of course be dd, then:

BC=d−15d−29=dd−15\frac{B}{C}=\frac{d-15}{d-29}=\frac{d}{d-15}

(d−15)2=d(d−29)(d-15)^2=d(d-29)

d2+225−30d=d2−29dd^2+225-30d=d^2-29d

d=225d=225m

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