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    The speed of a boat in still water is 15km/hr and the rate of current is 3km/hr. find the distance travelled downstream in 12 minutes.
    Question



    The speed of a boat in still water is 15km/hr and the rate of current is 3km/hr. find the distance travelled downstream in 12 minutes.

    A.

    1.8 km

    B.

    1.2 km

    C.

    3.6 km

    D.

    2.4 km

    Correct option is C

    The speed of the boat in still water is 15 km/hrThe speed of the current is 3 km/hrStep 1: Calculate the downstream speedDownstream speed=Speed of boat+Speed of current=15+3=18 km/hrStep 2: Convert time from minutes to hoursTime given=12 minutesTime in hours=1260=0.2 hoursStep 3: Calculate the distance traveled downstreamDistance=Speed×Time=18×0.2=3.6 km\text{The speed of the boat in still water is } 15 \text{ km/hr} \\\text{The speed of the current is } 3 \text{ km/hr} \\[10pt]\textbf{Step 1: Calculate the downstream speed} \\\text{Downstream speed} = \text{Speed of boat} + \text{Speed of current} \\= 15 + 3 = 18 \text{ km/hr} \\[10pt]\textbf{Step 2: Convert time from minutes to hours} \\\text{Time given} = 12 \text{ minutes} \\\text{Time in hours} = \frac{12}{60} = 0.2 \text{ hours} \\[10pt]\textbf{Step 3: Calculate the distance traveled downstream} \\\text{Distance} = \text{Speed} \times \text{Time} \\= 18 \times 0.2 = 3.6 \text{ km}​​

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