Miscellaneous Question 39
A boat takes T hours less to travel upstream from A to B than the time it takes to travel upstream from $B$ to $C$. The distance between $B$ and $C$ is $15$ $ km$ more than the distance between $A$ and $B$. If the speed of boat upstream is $15$ $ km / h$, how much distance upstream will the boat cover in ‘T+3’ hours? (in $km$ )
45
80
60
105
75
(IBPS SO (IT Officer) CWE (Prelim Exam) 30.12.2017)
Show Answer
Correct Answer: 39. (3)
Solution: 39. (3) $\mathrm{BC}-\mathrm{AB}=15 $ $\mathrm{km}$.
$\Rightarrow \frac{\mathrm{BC}-\mathrm{AB}}{15}=\mathrm{t}$
$\Rightarrow \mathrm{T}=\frac{15}{60}=0.25$ hours
$\therefore(\mathrm{T}+3)$ hours $=7$ hours
$\therefore$ Required distance
$=4 \times 15=60$ $ \mathrm{km}$.