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    Two places—P and Q are 400 miles apart. A car starts from P at a speed of 50 mph towards Q. After 75 minutes, another car starts from Q to P at a spee
    Question

    Two places—P and Q are 400 miles apart. A car starts from P at a speed of 50 mph towards Q. After 75 minutes, another car starts from Q to P at a speed of 40 mph. At what time will the cars meet?

    A.

    5 hours

    B.

    4 hours 30 minutes

    C.

    4 hours

    D.

    2 hours 45 minutes

    Correct option is A


    Distance = 400 mile
    Speed of 1st car = 50mph
    Speed of 2nd car = 40 mph
    Total distance covered by 1st car in 75 minutes = 50×75/60=62.5 mile
    Remaining distance = 400 – 62.5 = 337.5
    Relative speed = 50+40 = 90
    Required time = 337.5/90=3.75
    =3.75×60+75=300 min = 5 hrs.

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