Embibe Experts Solutions for Chapter: Arithmetic, Exercise 16: Exercise 16

A person rows a distance of $3\frac{3}{4} \mathrm{km}$  upstream in  $1\frac{1}{2} \mathrm{hours}$ and a distance of $13 \mathrm{km}$ downstream in $2 \mathrm{hours}$. How much time (in $\mathrm{hours}$) will the person take to row a distance of$90 \mathrm{km}$ in still water?

A boat takes $4 \mathrm{hours}$ to travel from a place $\mathrm{X}$ to $\mathrm{Y}$ downstream and back from $\mathrm{Y}$ to $\mathrm{X}$ upstream. If the distance from $\mathrm{X}$ to $\mathrm{Y}$ is $10.5 \mathrm{km}$, and the speed of the current is $9 \mathrm{kmph}$, then the speed of the boat in the still water, in $\mathrm{kmph}$, is:

A swimmer swims from a point $A$ against the current for $5 \min$ and then swims backwards in favour of the current for the next $5 \min$ and comes to the point $B$. If $AB=100 \mathrm{m}$, then find the speed of the current.

A man rowed against a stream flowing$1.5 \mathrm{km}/\mathrm{h}$ to a certain point and then turned back, stopping $2 \mathrm{km}$ short of the place from where he originally started. If the whole time occupied in rowing be$2 \mathrm{h} 10 \mathrm{minutes}$ and his uniform speed in still water be $4.5 \mathrm{km}/ \mathrm{h},$the man went up the stream at distance of how many $\mathrm{km}$?

A man can row at the rate of $9\frac{1}{3} km/hr$ in still water and he finds that it takes him thrice as much time to row upstream than the time taken to row downstream the same distance in river. The speed of the current is ?

Ram can swim at the speed of $6$ $\mathrm{kmph}$in still water. If the speed of the current is $2.4$ $\mathrm{kmph}$, it takes $3 \mathrm{h} 20$ $\min$to cover the distance from A to B and B to A. Find the distance between points A and B.

Sita takes thrice as long to row a distance against as to row the same distance with the flow of the stream. The ratio of the speed of the boat in still water to the speed of the stream is:

The speed of a boat in still water is $20$ $\mathrm{kmph}$and the rate of flow of the river is $4$$\mathrm{kmph}$. Moving along with the stream, a boat went $120$ $\mathrm{km}$. What distance will the boat cover in half the previous time going against the stream?