Banking Sample Paper IBPS PO (Main) Sample Test Paper-2

  • question_answer

    Direction: Study the following pie-charts and line graph carefully and answer the questions given below: The pie-charts show the distance covered by boats moving upstream and downstream by different boats. And the line graph shows the speed of stream (in kmph) of different boats. Distance covered upstream = 2600 km Distance covered downstream = 1800 km

    If the ratio of the speed of boat B in still water to the speed of boat F in still water is 2 : 3, then what will be the average time taken by boat F to travel upstream and downstream together if the speed of boat B in still water is 16 kmph?

    A)  \[15\frac{2}{11}hrs\]

    B)  \[10\frac{3}{11}hrs\]

    C)  \[12\frac{6}{11}hrs\]

    D)  \[18\frac{1}{9}hrs\]

    E)  None of thee

    Correct Answer: E

    Solution :

    \[\because 2\equiv 16\] \[\therefore \]\[3\equiv \frac{16}{2}\times 3=24=\] Speed of boat F Distance travelled by boat F upstream \[=\frac{17}{100}\times 2600=442\,km\] Distance travelled by boat F downstream \[=\frac{13}{100}\times 1800=234\,km\] Boat \[{{F}_{up}}=24-2=22\,kmph\] \[{{F}_{up}}=24+2=26\,kmph\] \[\therefore \] Average time taken by boat F upstream + downstream \[=\frac{\frac{442}{22}+\frac{234}{26}}{2}=\frac{\frac{221}{11}+9}{2}=\frac{221+99}{22}\] \[=\frac{320}{22}=14\frac{12}{22}=14\frac{6}{11}hours\]


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