# IB MTS (GEN)(BOAT & STREAM) QUANT QUIZ

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## Question 1:

A boatman can cross a river of $120 \mathrm{~km}$ length and came back to its initial point in $9 \mathrm{hrs}$. If speed of boat is thrice than that of the speed of stream then find the speed (in km/hr) of stream?

## Question 2:

A man can row 10 km/hr in still water and it takes him 150 minutes to row to a place and back to the starting point. If the speed of current is 2 km/hr, then how far is the place from the starting point? (in km)

## Question 3:

A man can row 30 km upstream and 44 km downstream in 10 hours. It is also known that he can row 40 km upstream and 55 km downstream in 13 hours. Find the speed of the stream in still water.

## Question 4:

In still water, Rajni can row $135 \mathrm{~km}$ in $7.5$ hours, while she can row $48 \mathrm{~km}$ upstream in 4 hours. What is the speed of the current in km/hr?

## Question 5:

The upstream speed and downstream speed of a boat is 10 kmph and 14 kmph respectively and boat travelled for T hours & 6 hours in upstream and downstream respectively. If the distance travelled in downstream is 44 km more than upstream, then find the value of ‘T’

## Question 6:

A swimmer can swim at a speed of 12 km/h in still water. If a river is flowing at a speed of 2 km/h, then how much time will the swimmer take to swim 6 km upstream?

## Question 7:

A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then how much time will it take to go 39 km downstream and 30 km upstream?

## Question 8:

A boatman can row his boat in still water at a speed of 9 km/h. He can also row 44 km downstream and 35km upstream in 9 hours. How much time (in hours) will he take to row 33 km downstream and 28km upstream?

## Question 9:

A man rows down a river 30 km in 6 hrs with the stream and returns in 10 hrs. The speed at which he rows in still water is:

## Question 10:

Speed of the stream is $3 \mathrm{~km} / \mathrm{hr}$ and the upstream speed is $7 \mathrm{~km} / \mathrm{hr}$. Find the time taken by boat to cover $91 \mathrm{~km}$ downstream.