JIPMAT 2021 (QA) - 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 | PYQs + Solutions | AfterBoards
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JIPMAT 2021

Arithmetic
>
Time, Speed & Distance

Conceptual

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

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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