Miscellaneous Question 42
- A boat covers $18 $ $km$ downstream in 3 hours. If speed of current is $1 \frac{1}{6}$ th of its downstream speed, in what time will it cover a distance of $100 $ $km$ upstream?
(1) 50 hours
(2) 40 hours
(3) 30 hours
(4) 60 hours
(5) 25 hours
(IBPS Bank PO/MT CWE-VII (Prelim Exam) 15.10.2017)
Show Answer
Correct Answer: 42. (5)
Solution: 42. (5) Rate downstream of the boat
$=\frac{18}{3}=6 $ $\mathrm{kmph}$.
Speed of current $=1$ $ \mathrm{kmph}$.
$\therefore$ Speed of boat in still water $=$ $5$ $ \mathrm{kmph}$.
$\therefore$ Rate upstream of boat $=4$ $ \mathrm{kmph}$.
Distance $=100 \mathrm{km}$.
$\therefore$ Time required
$=\frac{100}{4}=25$ hours