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Allu is 500/3% as fast as Arjun. Arjun is given a head start of 200 metres. Allu and Arjun completed a race of ______ metre length at the same time.

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Allu is 500/3% as fast as Arjun. Arjun is given a head start of 200 metres. Allu and Arjun completed a race of ______ metre length at the same time.
1). 550
2). 505
3). 500
4). 555


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1 answers

2 vote
Answered by on | Votes 2 |

Allu’s speed = 500/3% = 5/3 times Arjun’s.

Let the length of the race be x m. 

Let Arjun’s speed be 3s m/s and Allu’s be 5s m/s 

According to the question,

⇒ x/5 = (x - 200)/3 

⇒ x = 500 metres

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