Question

A thief ran from the police custody at
a speed of 9km/hr. After 30minutes,
police got alerted and started chasing
him at the speed of 36km/hr. After
how much time since he ran, the thief
could be nabbed?
(A) 40 minutes
(B) 45 minutes
(C) 50 minutes
(D) 60 minutes
g
3.0​

Answer 1

Answer:

Speed of thief =40 km per hr=v

t

Speed of police =50 km per hr=v

p

Police started after 3hrs of start of thief

50t=40t+40(3)

∴t=12hr

Time taken by police to catch thief =12hr

Distance travelled by dog =12×60

=720km

⇒ Distance travelled by police + To and from distance by Dog =720

Distance travelled by police =50×12

=600km

⇒ 600+2(from distance by dog)=720

"Fro" distance (distance from thief to police)="to"distance(distance from police to thief after once it returns)

600+2(’fro’ distance by dog)=720

∴ 'fro' distance =60

∴ Total distance towards thief =600+

′

to" distance

=720− 'fro' distance

=660km

Explanation:

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