Question

In a flat race, A beats B by 15 metres and C by 29 metres.
When B and C run over the course together, B wins by 15
metres. Find the length of the course एक सपाट दौड़ में A, B को
15 मीटर और को 29 मीटर से हराता है। जब B और C एक साथ पथ पर
चलते हैं, B 15 मीटर से जीतता है। पथ की लंबाई ज्ञात कीजिए​

Answer 1

Given : In a flat race, A beats B by 15 metres and C by 29 metres.

When B and C run over the course together, B wins by 15 metres.

To Find : length of the course

पथ की लंबाई

Solution:

Let say Race  = D m

A run   D m

B runs  D - 15 m

C runs D - 29 m

B runs  D - 15 m    => C runs  D - 29 m

=> B runs 1 m    => C runs  (D - 29 ) / (D - 15) m

=>  B runs D m    => C runs  D * (D - 29 ) / (D - 15) m

B wins by 15 meters => C runs = D  - 15 m

Equate C run

D  - 15 = D * (D - 29 ) / (D - 15)

=> D²  - 30D  + 225  = D²  - 29D

=> D = 225

Length = 225 m

पथ की लंबाई = 225 मीटर  

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