4.A thief saw a policeman from distance of 700m and started running.Thief could run 4.7km in 41 minutes & policeman can run the same distance in 34 minutes.Find the distance thief had run before being caught.
Answers
Given :- A thief saw a policeman from distance of 700m and started running. Thief could run 4.7km in 41 minutes & policeman can run the same distance in 34 minutes. Find the distance thief had run before being caught.
Solution :-
→ Thief runs = 4.7 km = 4.7 * 1000 = 4700 m.
→ Time taken = 41 min. =
→ speed of thief = (Distance/time) = (4700/41) m / min.
similarly,
→ Policeman runs = 4.7 km = 4.7 * 1000 = 4700 m.
→ Time taken = 34 min.
→ speed of Policeman = (Distance/time) = (4700/34) m / min.
then,
→ usual speed in same direction = speed of Policeman - speed of thief = (4700/34) - (4700/41) ={4700(41 - 34)} /34*41 = (4700 * 7)/1394 = 23.6 m/min.
therefore,
→ Time taken by policeman to catch the thief = (Distance between them) / usual speed = (700/23.6) = 29.67 minutes.
hence,
→ Distance covered by thief before caught = speed * time = (4700/41) * 29.67 ≈ 3401 m = 3.4 km (Ans.)
∴ The distance thief had run before being caught is 3.4 km .
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