Question : The speed of a boat in still water is $5 \frac{1}{3} \mathrm{~km} / \mathrm{hr}$. It is found that the boat takes thrice as much time to row up as it does to row down the same distance in the river stream. Find the speed of the river stream.
Option 1: $\frac{23}{27}$ m/sec
Option 2: $\frac{22}{27}$ m/sec
Option 3: $\frac{20}{27}$ m/sec
Option 4: $\frac{19}{27}$ m/sec
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: $\frac{20}{27}$ m/sec
Solution : Given, The speed of a boat in still water = $5 \frac{1}{3}$ km/hr = $\frac{16}{3}$ km/hr Let the speed of the stream be $x$ km/hr. Let the time taken to row along the stream $t$ hours. Then, the time taken to row against the stream = $3t$ hours According to the question, $(\frac{16}{3}+x)\times t=(\frac{16}{3}-x)\times 3t$ ⇒ $\frac{16}{3}+x=16-3x$ ⇒ $4x=\frac{32}{3}$ ⇒ $x=\frac{8}{3}$ km/hr ⇒ $x=\frac{8}{3}\times \frac{5}{18}$ m/sec ⇒ $x=\frac{20}{27}$ m/sec Hence, the correct answer is $\frac{20}{27}$ m/sec.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : A boar racer can row $21 \frac{3}{2}$ km/h in still water. If the speed of the river is 12.5 km/hr, it takes him 40 minutes to row to a place and back, how far off is the place (consider up to two decimals)?
Question : The speed of the boat down the stream is 125% of the speed in still water. If the boat takes 30 minutes to cover 20 km in still water, then how much time (in hours) will it take to cover 15 km upstream?
Question : A boat moves downstream at the rate of 1 km in $7\frac{1}{2}$ minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?
Question : To go a distance of 144 km upstream, a rower takes 12 hours while it takes her only 9 hours to row the same distance downstream. What is the speed of the stream?
Question : A boat moves downstream at a rate of 8 km/hr and upstream at 4 km/hr. The speed of the boat in still water is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile