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Siddharth

· started a discussion

· 1 Months ago

Explaination (Question: 89581.0 )

Why we did x/x-16=x-24/x-36

Question:
Three runners A, B and C run a race, with runner A finishing 24 meter ahead of runner B and 36 meter ahead of runner C, while runner B finishes 16 meter ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?
Options:
A) 92 meter
B) 96 meter
C) 60 meter
D) 72 meter
E) Can’t be determined
Solution:

Let length of the race be x meter. 

When A runs for x meter, B runs for (x - 24) meters and C runs for (x - 36) meters.

When B run for x meter C runs for (x – 16) meters.

Hence, 

Clearly for B and C

\(⇒ \cfrac{x}{x-16}=\cfrac{x-24}{x-36}\)

⇒ x2 – 36x = x2 – 40x  + 384

⇒ x = 96.

Knowledge Expert

· commented

· 1 Months ago

Because speeds are constant so d1t1=d2t2 = d3t3 = d3t4=-----
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