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Quantitative Aptitude

BOATS AND STREAMS MCQs

Total Questions : 948 | Page 91 of 95 pages
Question 901. . What is the speed of the boat in still water?
I. The speed downstream is 12 kmph.
II. The speed upstream is 4 kmph.
III. In a to and fro journey between two points, the average speed of the boat was 6 kmph.
  1.    I and II only
  2.    All I, II and III
  3.    III, and either I or II
  4.    Any two of the three
 Discuss Question
Answer: Option D. -> Any two of the three
Question 902. . What is the speed of the boat in still water?
I. The boat covers a distance of 48 kms in 6 hours while running upstream.
II. The boat covers the same distance in 4 hours while running downstream.
  1.    I alone sufficient while II alone not sufficient to answer
  2.    II alone sufficient while I alone not sufficient to answer
  3.    Either I or II alone sufficient to answer
  4.    Both I and II are necessary to answer
 Discuss Question
Answer: Option D. -> Both I and II are necessary to answer
Question 903. A steamer goes downstream from one port to another in 4 hours, it covers the same distance upstream in 5 hours. If the speed of the stream is 2km/hr,the distance between the two parts is_______?
  1.    50km
  2.    60km
  3.    70km
  4.    80 km
 Discuss Question
Answer: Option D. -> 80 km
LET THE DISTANCE BETWEEN THE TWO PARTS BE X KM.
THEN SPEED DOWNSTREAM = X/4 KM/HR.
SPEED UPSTREAM = X/5 KM/HR
SPEED OF THE STREAM = ½ (X/4 –X/5)
THEREFORE, ½(X/4 –X/5) = 2. => X/4 –X/5 = 4 => X = 80.
HENCE, THE DISTANCE BETWEEN THE TWO PORTS IS 80KM.
Question 904. The speed of a motor boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 min, it will come back in_______?
  1.    5 hours 50 min
  2.    6 hours
  3.    6 hours 50 min
  4.    12 hours 10 min
 Discuss Question
Answer: Option C. -> 6 hours 50 min
LET THE SPEED OF MOTOR BOAT BE 36X KM/HR AND THAT OF CURRENT OF WATER BE 5X KM/HR
SPEED DOWNSTREAM = (36X +5X)KM/HR = 41X KM/HR
SPEED UPSTREAM = (36 -5X)KM/HR = 31X KM/HR
DISTANCE COVERED DOWNSTREAM = (41X × 31/6)KM
DISTANCE UPSTREAM = [1271X/6 × 1/31X]HRS
= 41/6 HRS = 6HRS 50 MIN
Question 905. A boat covers a distance of 30 km in 2 ½ hours running downstream while returning it covers the same distance in 3 ¾ hours. What is the speed of the boat in still water?
  1.    8km/hr
  2.    12km/hr
  3.    14 km/hr
  4.    15 km/hr
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these
SPEED DOWNSTREAM = (30 X 2/5)KM/HR = 12KM/HR
SPEED UPSTREAM = (30 X 4/15) KM/HR = 8 KM/HR
SPEED OF BOAT IN STILL WATER = ½ (12 + 8)KM/HR = 10 KM/HR
Question 906. A boat goes 24 km downstream in 10 hours, it takes 2 hours more to cover the same distance against the stream. What is the speed of the boat in still water?
  1.    2km/hr
  2.    2.8 km/hr
  3.    4 km/hr
  4.    4.2 km/hr
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these
SPEED DOWNSTREAM = 24/10 KM/HR = 2.4 KM/HR
SPEED UPSTREAM = 24/12 KM/HR = 2 KM/HR
SPEED OF THE BOAT IN STILL WATER = ½ (2.4 +2)KM/HR = 2.2 KM/HR
Question 907. The speed of a boat in still water is 5 km/hr, it can go 30km upstream and return downstream to the original point in 4 hours 30 min. The speed of the stream is_______?
  1.    5km/hr
  2.    8 km/hr
  3.    10 km/hr
  4.    15 km/hr
 Discuss Question
Answer: Option A. -> 5km/hr
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 908. A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
  1.    32 km
  2.    25 km
  3.    28 km
  4.    24 km
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these
LET THE DISTANCE BETWEEN A AND B BE X KM.
TOTAL TIME = X/(9 + 1) + X/(9 – 1) = 4.5
=> X/10 + X/8 = 9/2 => (4X + 5X)/40 = 9/2 => X = 20 KM.
Question 909. A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
  1.    13, 3
  2.    12, 6
  3.    15, 3
  4.    14, 4
 Discuss Question
Answer: Option D. -> 14, 4
LET THE SPEED OF THE MAN IN STILL WATER AND SPEED OF STREAM BE X KMPH AND Y KMPH RESPECTIVELY.
GIVEN X + Y = 18 — (1)
AND X – Y = 10 — (2)
FROM (1) & (2) 2X = 28 => X = 14, Y = 4.
Question 910. The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
  1.    10 seconds
  2.    15 seconds
  3.    20 seconds
  4.    12 seconds
  5.    None of these
 Discuss Question
Answer: Option D. -> 12 seconds
SPEED OF THE BOAT DOWNSTREAM = 15 + 3 = 18 KMPH
= 18 * 5/18 = 5 M/S
HENCE TIME TAKEN TO COVER 60 M = 60/5 = 12 SECONDS.

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