Correct Answer - Option 3 :
4:40PM
Given:
Speed of a Thief = 30km/hr.
At 3:40 PM a thief robbed a bank.
Formula Used:
Speed = Distance/ Time
Relative Speed (While Chasing):
⇒Total Distance covered / Total time taken
Calculation:
Speed of Police:
⇒ 150% of a Thief = 150/100 × 30 = 3/2 × 30 =45km/hr.
In 20 minutes thief will cover,
⇒ 30 × 20/60 → 10km.
Relative speed ⇒ (Police-Thief) = Distance covered by thief / total time taken
∴ 45 – 30 = 10/Time taken
∴ 15 = 10/Time taken
∴ Time taken = 10/15 = 2/3 hours.
∴ hours. = 2/3× 60 = 40 minutes
∴ Police will take 40 minutes to catch the thief.
∴ Police will catch a thief at 4:40 PM