A man can row a boat at a speed of 8, km/h in | vedclass

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

Question

(B) Let the total distance between the two points be $d\, km$.Speed of the boat in still water = $8\, km/h$.Speed of the stream = $2\, km/h$.Downstrea

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(B) Let the total distance between the two points be $d\, km$.Speed of the boat in still water = $8\, km/h$.Speed of the stream = $2\, km/h$.Downstream speed = $8 + 2 = 10\, km/h$.Usual time taken to cover distance $d$ downstream = $\frac{d}{10}$.In the actual scenario,the man travels half the distance $(d/2)$ at $10\, km/h$ and the remaining half $(d/2)$ at the speed of the stream $(2\, km/h)$ because the motor failed.Actual time taken = $\frac{d/2}{10} + \frac{d/2}{2} = \frac{d}{20} + \frac{d}{4} = \frac{d + 5d}{20} = \frac{6d}{20} = \frac{3d}{10}$.Given that the actual time is $6\, hours$ more than the usual time:$\frac{3d}{10} - \frac{d}{10} = 6$$\frac{2d}{10} = 6$$\frac{d}{5} = 6$$d = 30\, km$.

Similar Questions

In a river flowing at $2\, km/h$, a boat travels $32\, km$ upstream and then returns downstream to the starting point. If its speed in still water is $6\, km/h$, find the total journey time in hours.

What time will be taken by a boat to cover a distance of $128\, km$ along the stream,if the speed of a boat in still water is $24\, km/h$ and the speed of the stream is $8\, km/h$? (in $h$)

The speed of a boat in still water is $8\, km/h$. If its speed downstream is $15\, km/h$,then the speed of the stream is $.......\, km/h$.

The ratio of the speed of a motorboat to the speed of the water current is $36: 5$. The boat travels along with the current in $5\, h\, 10\, min$. How long will it take to return?

$A$ boat takes $90$ minutes less to travel $36$ miles downstream than to travel the same distance upstream. If the speed of the boat in still water is $10$ miles/hour,the speed of the stream is.......miles/hour.

Vedclass Test Series

Exam Paper Generator

Online Exam Module