Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    A motorboat in still water travels at a speed of 36 km/h. It goes 56 km upstream in 1 hour 45 minutes. The time taken by it to cover the same distance down the stream will be:

    ক)
    2 hours 25 minutes
    খ)
    3 hours
    গ)
    1 hour 24 minutes
    ঘ)
    2 hours 21 minutes
    ঙ)
    1 hour 40 minutes

    Explanation

    Given: speed of motor boat in still water = 36 km/hr Let the time taken to cover same distance down the stream = x hr Speed of boat upstream = 56  km1  hr  45  min  =5674=32  km/hr\frac{{56\;km}}{{1\;hr\;45\;min}}\; = \frac{{56}}{{\frac{7}{4}}} = 32{\rm{\;km}}/{\rm{hr}} Man’s rate in still water = (rate in upstream + rate in downstream)/2 36=32+56x236 = \frac{32+\frac{{56}}{x}}{2} ⇒ x = (56/40) ⇒ x = (14/10) hrs =1410  hrs= 1\frac{4}{{10}}\;hrs = 1 hr 24 mins

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