In a race, A beats B by 15 metres and C by 29 metres. If B and C run over the course together, B wins by 15 metres. What is the length of the course? Choose one.
A) 225m
B) 120m
C) 220m
D) 160m
E) 180m
Explanation:   Let X be the length of the course   according to the question,   A beats B by 15 metres and C by 29 metres   Applying this,   If A runs X metres, B runs (X-15) and C runs ( X-29) metres.   B and C together run, B runs X metres and C runs (X-15)   =&gt; If B runs 1 metre, C runs X-15/X   =&gt; B runs X-15 m, C runs (X-15/x) * (X-15)   APPLYING THIS,   X-29 = (X-15)(X-15) / X   Solving,   X2 -29X= X2 – 30 X + 225= 
<gadget id="calculator">+ 225</gadget>
<output>225</output>
225   Thus, length of the course is 225 metres.   225mNSWER 225m
<result>A</result>
In a race, A beats B by 15 metres and C by 29 metres. If B and C run over the course together, B wins by 15 metres. What is the length of the course?