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1) Speed of the boat downstream is 12 kmph more than the speed of the boat upstream. If the boat can travel 180 km upstream and 360 km downstream in 30 hours, then find the time taken by the boat to cover 144 km in still water?
A.8 hours
B.12 hours
C.9 hours
D.16 hours
E.None of these
2) A boat covers 21 km upstream and 60 km downstream in 3 hours. If the speed of the boat in still water is 12 kmph more than the speed of the current, then find the time taken by the boat to cover 168 km downstream and 90 km upstream?
A.11 hours
B.13 hours
C.10 hours
D.9 hours
E.8 hours
3) The boat covers 189 km downstream and 117 km upstream in 20 hours. If the speed downstream is 50% more than the speed of the boat in still water, then find the time taken by the boat to cover 513 km downstream?
A.18 hours
B.19 hours
C.27 hours
D.21 hours
E.None of these
4) The ratio of the speed of boat in still water and speed of stream is 3:1. If the difference between the speed of boat and stream is 80 kmph and the boat goes from A to B and comes pack to A in 15 hours, find the distance between A and B?
A.500 km
B.600 km
C.700 km
D.800 km
E.900 km
5) The downstream speed is double of the upstream speed. If the boat covers 144 km downstream and 48 km upstream in 10 hours, then find the time taken by the boat to cover 234 km in still water.
A.12 hours
B.14 hours
C.11 hours
D.13 hours
E.18 hours
6) A boatman can cover 168 km upstream and 240 km downstream in total of 13 hours. Find the distance covered by the boatman in 8 hours by still water, if speed of Boat in still water is 300% more than speed of stream.
A.128 km
B.140 km
C.164 km
D.160 km
E.None of these
7) A boat can cover 72 km in still water and same distance in downstream in 8 hours and 6 hours respectively. Find the total time taken by boat to travel 42 km upstream and 96 km downstream.
A.12 hours
B.15 hours
C.18 hours
D.21 hours
E.None of these
8) A boat covers 540 km downstream in t minutes. If the speed of the boat is increased by 20%, then the time taken by the same boat to cover the same downstream distance is (t – 24) minutes. If the ratio of the speed of the boat in still water to current is 5:4, then find the upstream speed of the boat?
A.12 kmph
B.15 kmph
C.18 kmph
D.20 kmph
E.None of these
9) The speed of the boat in downstream is double the speed of the boat in upstream. If the boat travels 108 km upstream as well as downstream in 9 hours, then find the time taken by the boat in still water to cover 216 km
A.7 hours
B.8 hours
C.6 hours
D.9 hours
E.11 hours
10) A boat covers 120 km downstream in x hours and also covers 180 km upstream in (x + 5) hours. If the boat covers 350 km in still water in 14 hours, then find the speed of the current?
A.4 kmph
B.5 kmph
C.8 kmph
D.6 kmph
E.10 kmph
Answers :
1) Answer: A
Speed of stream = 12/2 = 6 kmph
Speed of boat = x
180/(x – 6) + 360/(x + 6) = 30
6x + 36 + 12x – 72 = (x – 6) * (x + 6)
18x – 36 = x2 – 36
x = 18
Required time = 144/18 = 8 hours
2) Answer: A
Speed of upstream = 12 kmph
21/12 + 60/(x + y) = 3
60/(x + y) = 3 – 7/4
x + y = 48
x – y = 12
Required time = 168/48 + 90/12 = 11 hours
3) Answer: B
Speed of boat = 2x
Speed of downstream = 2x * 150/100 = 3x
Speed of stream = 3x – 2x = x
189/(2x + x) + 117/(2x – x) = 20
63/x + 117/x = 20
x = 9 hours
Required time = 513/(3 * 9) = 19 hours
4) Answer: D
Speed of boat = 3/2 * 80 = 120 kmph
Speed of stream = 1/2 * 80 = 40 kmph
d/(120 + 40) + d/(120 – 40) = 15
3d/160 = 15
d = 800 km
5) Answer: D
Upstream speed =x
Downstream speed= 2x
144/2x + 48/x = 10
240/2x = 10
x = 12 kmph
Speed of boat = (24 + 12)/2 = 18 kmph
Required time = 234/18 = 13 hours
6) Answer: E
Let speed of stream = a km/h
Speed of boat = 4 x a = 4a km/h
According to question,
168/ (4a – a) + 240/ (4a + a) = 13
56/a + 48/a = 13
a = 104/13
a = 8 km/h
Speed of boat in still water = 8 x 4 = 32 km/h
Required distance = 32 x 8 = 256 km
7) Answer: B
Speed of boat in still water = 72/8 = 9 km/h
Downstream speed = 72/6 = 12 km/h
Speed of stream = 12 – 9 = 3 km/h
Required time = 42 / (9 – 3) + 96 / (12) = 15 hours
8) Answer: B
Speed of boat = 5x
Speed of current = 4x
540/(9x) – 540/(5x * 120/100 + 4x) = 24/60
x = 15
Speed of upstream = 5x-4x =15 kmph
9) Answer: B
Speed of upstream = x
Speed of downstream = 2x
108/2x + 108/x = 9
162 = 9x
x = 18
Speed of boat = (2x + x)/2 = 3 * 18/2 = 27 kmph
Required time = 216/27 = 8 hours
10) Answer: B
Speed of boat in still water = 350/14 = 25 kmph
Speed of downstream = 120/x
Speed of upstream = 180/(x + 5)
((120/x) + 180/(x + 5) = 25 * 2
120x + 600 + 180x = 50 * (x2 + 5x)
30x + 60 = 5x2 + 25x
x2 – x – 12 = 0
x2 – 4x + 3x – 12 = 0
x(x – 4) + 3(x – 4) = 0
x = 4, -3
Speed of downstream = 120/4 = 30 kmph
Speed of upstream = 180/9 = 20 kmph
Speed of current = (30 – 20)/2 = 5 kmph
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