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}$.