Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    Two boats have same speed of 10 km/hr in still water. First boat starts from a point P and goes upstream. At the same time, second boat starts from same point P and goes downstream. After 3 hours, the sum of distances covered by them is 60 km. What is the speed of the stream (in km/hr)?

    ক)
    1
    খ)
    2
    গ)
    2.5
    ঘ)
    4
    ঙ)
    Cannot be determined

    Explanation

    Let the speed of stream be V km/hr. ⇒ Upstream speed = (10 – V) km/hr ⇒ Downstream speed = (10 + V) km/hr We know, Distance = Speed × Time Distance travelled by first boat in 3 hours upstream = 3 × (10 – V) km Distance travelled by second boat in 3 hours downstream = 3 × (10 + V) km ⇒ Total distance travelled = 3 × (10 – V) km + 3 × (10 + V) km = 60 km ⇒ 30 – 3V + 30 + 3V = 60 ⇒ 60 = 60 We see it is an identity, and any value of V would satisfy it. ∴ Speed of stream cannot be determined uniquely.

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