(C) Let the speed of the boat in still water be $u = 6\, km/h$ and the speed of the stream be $v = 1.5\, km/h$.The speed downstream is $u + v = 6 + 1.

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) Let the speed of the boat in still water be $u = 6\, km/h$ and the speed of the stream be $v = 1.5\, km/h$.The speed downstream is $u + v = 6 + 1.5 = 7.5\, km/h$.The speed upstream is $u - v = 6 - 1.5 = 4.5\, km/h$.The distance to the place is $d = 22.5\, km$.Time taken to go downstream is $t_1 = \frac{d}{u+v} = \frac{22.5}{7.5} = 3\, hours$.Time taken to come back upstream is $t_2 = \frac{d}{u-v} = \frac{22.5}{4.5} = 5\, hours$.Total time taken = $t_1 + t_2 = 3 + 5 = 8\, hours$.

Competitive Quantitative Aptitude Boats and Streams Boats and Streams

Medium

The speed of a boat in still water is $6\, km/h$ and the speed of the stream is $1.5\, km/h$. $A$ man rows to a place at a distance of $22.5\, km$ and comes back to the starting point. Find the total time taken by him (in $hours$).

A
$4$
B
$6$
C
$8$
D
$10$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Boats and Streams

Subtopic

Boats and Streams

In a stream running at $2 \ km/h$,a motorboat goes $6 \ km$ upstream and back again to the starting point in $33 \ minutes$. Find the speed of the motorboat in still water. (in $km/h$)

Medium

View Solution

$A$ man can swim $3 \text{ km/h}$ in still water. If the velocity of the stream is $2 \text{ km/h}$,the time taken by him to swim to a place $10 \text{ km}$ upstream and back is (in hours):

Medium

View Solution

$A$ boat covers a certain distance downstream in $1 \text{ hour}$,while it comes back in $1.5 \text{ hours}$. If the speed of the stream is $3 \text{ km/hr}$,what is the speed of the boat in still water? (in $\text{km/hr}$)

Medium

View Solution

$A$ boatman goes $2\, km$ against the current of the stream in $1\, h$ and goes $1\, km$ along the current in $10\, min.$ How long will he take to go $5\, km$ in stationary water?

Medium

View Solution

$A$ boatman rows $1\, km$ in $5\, min$ along the stream and $6\, km$ in $1\, h$ against the stream. The speed of the stream is in $km/h$:

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The speed of a boat in still water is $6\, km/h$ and the speed of the stream is $1.5\, km/h$. $A$ man rows to a place at a distance of $22.5\, km$ and comes back to the starting point. Find the total time taken by him (in $hours$).

Similar Questions

In a stream running at $2 \ km/h$,a motorboat goes $6 \ km$ upstream and back again to the starting point in $33 \ minutes$. Find the speed of the motorboat in still water. (in $km/h$)

$A$ man can swim $3 \text{ km/h}$ in still water. If the velocity of the stream is $2 \text{ km/h}$,the time taken by him to swim to a place $10 \text{ km}$ upstream and back is (in hours):

$A$ boat covers a certain distance downstream in $1 \text{ hour}$,while it comes back in $1.5 \text{ hours}$. If the speed of the stream is $3 \text{ km/hr}$,what is the speed of the boat in still water? (in $\text{km/hr}$)

$A$ boatman goes $2\, km$ against the current of the stream in $1\, h$ and goes $1\, km$ along the current in $10\, min.$ How long will he take to go $5\, km$ in stationary water?

$A$ boatman rows $1\, km$ in $5\, min$ along the stream and $6\, km$ in $1\, h$ against the stream. The speed of the stream is in $km/h$:

Vedclass Test Series

Exam Paper Generator

Online Exam Module