69 Views

Question : A boat covers a certain distance against the stream in 9 hours 36 min and it covers the same distance along the stream in 6 hours. What is the ratio of the speed of the boat in still water to that of the stream?

Option 1: 13 : 3

Option 2: 9 : 2

Option 3: 11 : 6

Option 4: 8 : 5


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 13 : 3


Solution : Let the speed of the boat in still water and the speed of the stream be $x$ and $y$ km/hr.
Time taken by boat to cover some distance along the stream = 6 hours
Time taken by boat to cover the same distance against the stream = 9 hours 36 min = 9.6 hours
​​​​​​Speed of water along the stream = $x+y$ km/hr
Speed of water against the stream = $x-y$ km/hr
We know, Distance = Speed × Time
According to the question,
$6(x+y)=9.6(x-y)$
⇒ $15.6y = 3.6x$
⇒ $\frac{x}{y}=\frac{15.6}{3.6}$
⇒ $\frac{x}{y}=\frac{13}{3}$
Hence, the correct answer is 13 : 3.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books