Special Quant Quiz (Boat And Stream Based on TRICKS) SSC CGL Tier-II 2016

Q1. A man
rows upstream 11 km and downstream 26 km taking 5 hours each time. The velocity
of the current is.
(a) 3.5 km/h
(b) 2.5 km/h
(c) 1.5 km/h
(d) .5 km/h


 Q2. A man
can row at 8 km/hr in still water. If the river is running at 4 km/hr, it takes
him 5 hours to row to a place and come back. How far is the place?
(a) 15 km
(b) 14 km
(c) 16km
(d) 17 km

Q3. A man
can row at 6 km/hr in still water. If the river is running at 2 km/hr, it takes
8 hours more in upstream than to go downstream for the same distance. How far
is the place?
(a) 85 km
(b) 64 km
(c) 54 km
(d) None of
these



Q4. A man can row 6 km/hr in still water. It takes him twice as long to row up
as to row down the river. Find the rate of the stream.
(a) 2 km/hr
(b) 3km/hr
(c) 1km/hr
(d) 1.5km/hr

 S4. Ans.(a)
Sol. It takes
him twice as long to row up as to row down the river. It means upstream time is
twice of downstream time or we can say that downstream speed is two times of
upstream speed
downstream
speed = 2 × upstream
u + v = 2(u
– v)
6 + v = 2(6
– v)
v = 2 km/hr

Q5. Manish
can row at a speed of 4.5 km/hr in still water and rows to a certain upstream
point and back to the starting point in a river which flows at 1.5 km/hr. Find
his average speed for total journey.
(a) 3 km/hr
(b) 2 km/hr
(c) 5 km/hr
(d) 4 km/hr
  

Q6. If a man
rows 4 km downstream in 3 hours and 2 km upstream in 2 hours, then how long
will he take to cover 8 km in stationary (still) water?
(a) 5 hours        
(b) 9 hours        
(c)8 hours         
(d) none of
these

 S6. Ans.(d)
Sol. Distance
covered in downstream = 4 km
Time taken
in downstream = 3 hours.
Rate of
downstream = distance / time = a = 4km / 3 hours = 4/3 km/hr.
Distance
covered in upstream = 2 km
Time taken
in upstream = 2 hours.
Rate of
upstream = distance / time = b = 2 km / 2 hours = 1 km/hr.
Speed in
still water = (a + b)/2 = (1/2)(4/3 + 1) km/hr = (1/2)(4 + 3)/3 = 7/6 km/hr.
Time Taken
to cover 8 km in still water = distance / speed = 8 x 6/7 = 48 / 7 = 7 hours
(approximately).

Q7. The
speed of a boat in still water is 30 km/hr and the rate of current is 12 km/hr.
The distance traveled upstream in 20 minutes is-
(a) 6 km/hr
(b) 5 km/hr
(c) 9 km/hr
(d) 8 km/hr

Q8. Sandeep
can row a certain distance downstream in 5 hours and return the same distance
in 7 hours. If the stream flows at the rate of 2 km per hour. Find the speed of
Sandeep in still water.
(a) 14 km/h
(b) 15 km/h
(c) 13km/h
(d) 12 km/h

 S8. Ans.(d)
Sol. In one
direction he will go by downstream and return with upstream and in both cases
distance is same
Downstream
distance = Upstream distance
(u + 2) 5 =
(u – 2) 7
u = 12 km/h
Q9. The rate
of flow of river water is 4 km/hr. A boat goes 6 km and back to the starting
point in 2 hours. Find the speed of the boat in still water.
(a) 6 km/hr
(b) 8 km/hr
(c) 9 km/hr
(d) 10 km/hr
     

                                                                                                

Q10. A man
can row 30 km upstream and 44 km downstream in 10 hrs. Also, he can row 40 km
upstream and 55 km downstream in 13 hrs. Find the rate of the current(v) and
the speed of the man(u) in still water.
(a) u = 5, v
= 4
(b) u = 6, v
= 5
(c) u = 8, v
= 3
(d) None of
these

Q11. A man
can row 45 km upstream and 66 km downstream in 15 hrs. Also, he can row 65 km
upstream and 77 km downstream in 20 hrs. Find the speed of the man in still
water and rate of the current.
(a) 8 km/hr,
3 km/hr
(b) 11
km/hr, 3 km/hr
(c) 11
km/hr, 8 km/hr
(d) 9 km/hr,
2 km/hr

Q12. The
speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return
downstream to the original point in 4 hrs 30 min. The speed of the stream is:
(a) 5 km/hr
(b) 8 km/hr
(c) 10 km/hr
(d) 15 km/hr

Q13. A boat goes 6 km in an hour in still
water. It takes thrice as much time in covering the same distance against the
current. Speed of the current is:
(a) 2 km/hr
(b) 3 km/hr
(c) 4 km/hr
(d) 5 km/hr

Q14. A
swimmer’s speed downstream is 11 km/hr and speed of the steam is 1.5 km/h. Find
the upstream speed of swimmer.
(a) 8 km/hr
(b) 9.5
km/hr
(c) 9 km/hr
(d) 6.25
km/hr

Q15. A person covers 18 km along the stream
in 4 h and covers the same distance against the stream in 12 h. Find the speed
of stream in km/h.
(a) 1
(b) 1.5
(c) 1.75

(d) 3


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