A) 8.6
B) 9.3
C) 10.1
D) 10.5
E) 9.9
Correct Answer: E
Solution :
Rate downstream \[=\frac{\text{Distance}}{\text{Time}}=\left( \frac{15.2}{\frac{24}{60}} \right)\,kmph\] \[=\left( \frac{15.2\times 60}{24} \right)\,\,kmph=38\,kmph\] Speed of current =2.5 kmph \[\therefore \] Speed of boat in still water \[=\left( 38-2.5 \right)\text{ }kmph~~~~~~~\] \[=\text{ }35.5\text{ }kmph\] \[\therefore \] Rate upstream \[=\left( 35.5-2.5 \right)\text{ }kmph\] = 33 kmph \[\therefore \]Distance covered in 18 minutes \[=\left( \frac{33\times 18}{60} \right)\,\,km=9.9\,\,km\]
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