📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    A thief was spotted by a policeman at a distance of 1200

    m and he started chasing him. The thief ran 6.4 km in 52 minutes and the policeman also ran the same distance in 40 minutes. Find the distance the thief had run before he was caught.
    A 3.0 km Correct Answer Incorrect Answer
    B 3.5 km Correct Answer Incorrect Answer
    C 4 km Correct Answer Incorrect Answer
    D 2.5 km Correct Answer Incorrect Answer

    Solution

    Here, thief ran 6.4 km in 52 minutes i.e. (52/60) hours (As 1 hour = 60 minutes) Speed of the thief = Distance/Time 6.4/ (52/60) = 6.4 x 60/52 = 96/13 km/h Now, a policeman ran 6.4 km in 40 minutes = 40/60 hours Speed of the policeman Distance/ Time =6.4 x 60/40 = 48/5 km/h As a policeman chases a thief.   Hence, they run in the same direction Relative speed when running in the same direction =48/5-96/13=144/65 Now, the time taken by a policeman to cover 1200m, 1200/1000 = 1.2km distance Now, the required distance for a thief, Speed x Time = 96/13 x 13/24 =96/24= 4 km Hence, the thief had to run 4 km before he was caught.

    Practice Next
    More Previous year papers Questions

    Relevant for Exams:

    ask-question