Boats & Streams Model Questions Set 1 Practice Questions Answers Test With Solutions & More Shortcuts

BOATS & STREAMS PRACTICE TEST [1 - EXERCISES]

Boats & Streams Model Questions Set 1

Question : 11

A boat takes half the time in moving a certain distance downstream than upstream. The ratio between rate in still water and rate of current is

a) 3 : 1

b) 1 : 4

c) 1 : 2

d) 3 : 2

Answer: (a)

Let speed of boat in still water = x km/h

speed of current = y km/h

∴ (x + y) × t = (x – y) × 2t

x = 3y

x : y = 3 : 1

Question : 12

The speed of a boat in still water is 15 km/h and the rate of stream is 5 km/h. The distance travelled downstream in 24 minutes is

a) 6 km

b) 4 km

c) 8 km

d) 16 km

Answer: (c)

Downstream speed = 15 + 5 = 20 km/h.

∴ Required distance $20×24/60$=8km

Question : 13

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is :

a) 14 km/h

b) 10 km/h

c) 4 km/h

d) 6km/h

Answer: (b)

Let speed of the boat in still water be x km/h and speed of the current be y km/h.

Then, upstream speed = (x – y) km/h

and downstream speed = (x + y) km/h

Now, $24/{(x-y)}+28/{(x+y)}=6$ …(i)

and $30/{(x-y)}+21/{(x+y)}=13/2$ …(ii)

Solving (i) and (ii), we have

x = 10 km/h and y = 4 km/h

Question : 14

A man swimming in a stream which flows 1.5 km/hr, finds that in a given time he can swim twice as fast with the stream as he can against it. At what rate does he swim ?

a) 6 km/hr

b) 4.5 km/hr

c) 5.25 km/hr

d) None of these

Answer: (b)

Rate of stream = 1.5 km/hr

Let speed of man in still water = u km/hr

and distance = d

∴ downstream speed = (u + 1.5) km/hr

upstream speed = (u – 1.5)km/hr

∴ From question ${2d}/{u+1.5}=d/{u-1.5}$

⇒2u-3=u+1.5

⇒u=4.5 km/hr

Question : 15

A person can row a boat d km upstream and the same distance downstream in 5 hours 15 mins. Also he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream.

a) 8 hours

b) $7{2/3}$hours

c) $7{3/4}$ hours

d) $7/2$ hours

Answer: (d)

Let speed in downstream = (x + y)

speed in upstream = (x – y)

∴ $d/{x+y}+d/{x-y}=21/4$ ...(1)

As ${2d}/{x-y}=7$

∴ ${2d}/{x+y}=21/4 ×2-7$

= $7/2$ hours

IMPORTANT QUANTITATIVE APTITUDE EXERCISES

Boats & Streams Model Questions Set 1 Online Quiz

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