A, B and C are in a cycle race of 1500 meters. A cycles twice as fast as B, C cycles \(\frac{1}{2}\) as fast as B. C completes the race in 40 minutes. Then, where was B from the finishing line when A finished the race?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 750 m from the finish line
Over the same distance, time taken is inversely proportional to speed: twice as fast means half the time.
Times for the 1500 m race:
C takes 40 minutes; B is twice as fast as C, so B takes 20 minutes
A is twice as fast as B, so A takes 10 minutes
Where B is when A finishes:
In 10 minutes B covers half of B’s 20-minute race: \(\frac{1}{2}\times1500=750\) m
Distance left for B \(=1500-750=750\) m