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    A thief started his journey at a speed of 60 km/h. After 30 minutes, police started from the same place but at a speed of 80 km/h. How much time (in h
    Question

    A thief started his journey at a speed of 60 km/h. After 30 minutes, police started from the same place but at a speed of 80 km/h. How much time (in hours) will the police take to catch the thief?

    A.

    32 hr\frac{3}{2} \,\text{hr}​​

    B.

    12 hr\frac{1}{2} \,\text{hr}​​

    C.

    13 hr\frac{1}{3} \,\text{hr}​​

    D.

    52 hr\frac{5}{2} \,\text{hr}​​

    Correct option is A

    Given:
    Thief's initial speed = 60 km/h
    Police's speed = 80 km/h
    Time elapsed before police starts (T) = 30 minutes = 0.5 hours
    Formula Used:
    Distance (D) = Speed (V) × Time (T)
    Solution:
    Let the time take by police to catch the thief is t.

    t=60×0.58060t=3020t=32 hrt = \frac{60 \times 0.5}{80 - 60} \\t = \frac{30 }{20 } \\t = \frac{3}{2} \, \text{hr}

    ​​

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