Miscellaneous Question 34

  1. A boat can travel $9.6 $ $km$ downstream in 36 minutes. If speed of the water current is $10 \%$ of the speed of the boat in downstream, how much time will boat take to travel $19.2$ $ km$ upstream?

(1) 2 hours

(2) 3 hours

(3) 1.25 hours

(4) 1.5 hours

(5) 1 hour

(IBPS RRBs Officers CWE (Prelim Exam) 09.09.2017 IInd Sitting)

Show Answer

Correct Answer: 34. (4)

Solution: 34. (4) Rate downstream of boat

$=\left(\frac{9.6}{\frac{36}{60}}\right) $ $\mathrm{kmph}$.

$=\left(\frac{9.6 \times 60}{36}\right) $ $\mathrm{kmph}$.

$=16 $ $\mathrm{kmph}$.

Speed of current $=1.6$ $ \mathrm{kmph}$.

$\therefore$ Speed of boat in still water

$=(16-1.6) $ $\mathrm{kmph}$.

$=14.4 $ $\mathrm{kmph}$.

$\therefore$ Rate upstream of boat

$=(14.4-1.6)$ $ \mathrm{kmph}$.

$=12.8 $ $\mathrm{kmph}$.

$\therefore$ Required time

$=\left(\frac{19.2}{12.8}\right)$ hours

$=1.5$ hours