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 »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 »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 »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 »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 »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
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