Question : A man rows to a place 48 km distance and comes back in 14 hours. He finds that he can row 4 km with the stream at the same time as 3 km against the stream. The speed of the stream is:
Option 1: 1.5 km/h
Option 2: 3.5 km/h
Option 3: 1.8 km/h
Option 4: 1 km/h
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 1 km/h
Solution :
Suppose he moves 4 km downstream in $x$ hours.
⇒ Speed downstream =$\frac{4}{x}$ km/hr
And, speed upstream =$\frac{3}{x}$ km/hr
According to the question,
$\frac{48}{\frac{4}{x}}+\frac{48}{\frac{3}{x}}=14$
⇒ $\frac{48x}{4}+\frac{48x}{3}=14$
⇒ $\frac{144x+192x}{12}=14$
⇒ $336x=168$
⇒ $x=\frac{168}{336}=\frac{1}{2}$
⇒ Speed downstream = 8 km/hr
And, speed upstream = 6 km/hr.
⇒ Speed of the stream =$\frac{1}{2}(8−6)$ km/hr = 1 km/hr
Hence, the correct answer is 1 km/hr.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
