Question

A police spotted a thief when he was 125 meters aheads of him. The thief ran 9km/hour and the police chased him @10km/hour how far did the constable run to catch the thief

Answer 1

Answer:

let the distance after the thief is caught be x

then distance covered by theif is x and constable will be x+.125 km

but time will be same for both.

so

x/9=x+.125/10

or 10x=9x+.125×9

or x=1.125 km

Answer 2

The constable run 1250 m to catch the thief.

Step-by-step explanation:

Since we have given that

Distance covered by theif = 125 m

Speed of thief = 9 km/hr

Speed of police = 10 km/hr

Let x be distance covered by thief.

So, their time when thief caught by police would be same

So,it becomes,

$\dfrac{x}{9}=\dfrac{x+125}{10}\\\\10x=9(x+125)\\\\10x=9x+1125\\\\10x-9x=1125\\\\x=1125$

Hence, the constable run 1125 +125 = 1250 m to catch the thief.

# learn more:

The thief and the police are 250 meters apart and police men running at 9km per hour and the thief running at 8km per hour how much time the police man take to catch the thief

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