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 Boats and Streams Questions

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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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7 1497
Q:

Choose the most appropriate answer:A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 Km/h and the speed of the current is 3 Km/h, the distance between A and B is

A) 9 km B) 10 km
C) 11 km D) 12 km
 
Answer & Explanation Answer: D) 12 km

Explanation:

Speed of boat in still water = 9 km/hr

Speed of current = 3km/hr

Downstream speed = 9+3 = 12 km/hr

Upstream speed = 9-3 =6 km/hr

Let the distance between A to B be x km.

x/6 + x/12 = 3x + 2x = 36
3x = 36
x = 12 km

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5 1442
Q:

If the speed of a boat in still water is 20 km/hr and the speed of the current is 5 km/hr, then the time taken by the boat to travel 100 km with the current is

A) 2 hrs B) 3 hrs
C) 4 hrs D) 7 hrs
 
Answer & Explanation Answer: C) 4 hrs

Explanation:
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4 1376
Q:

A man can row his boat at a speed of speed of 4 kmph and he finds that the time taken rowing upstream is double to that taken downstream. Find the speed of the stream (in kmph).

A) 1.5 B) 1.3
C) 2 D) 1
 
Answer & Explanation Answer: B) 1.3

Explanation:
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10 1369
Q:

Speed of a boat along and against the current are 14 kms/hr and 8 kms/hr respectively. The speed of the current is

A) 11 kms/hr B) 6 kms/hr
C) 5.5 kms/hr D) 3 kms/hr
 
Answer & Explanation Answer: D) 3 kms/hr

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3 1364
Q:

A man can row upstream at 12 km/hr and downstream at 18 km/hr. The man's rowing speed in still water is

A) 15 km/hr B) 5 km/hr
C) 3 km/hr D) 10 km/hr
 
Answer & Explanation Answer: A) 15 km/hr

Explanation:
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3 1358
Q:

To go a distance of 40 km upstream a rower takes 8 hours while it takes her only 5 hours to row the same distance downstream. What was the rower's speed in still water?

A) 4.5 kmph B) 4 kmph
C) 6.5 kmph D) 1.5 kmph
 
Answer & Explanation Answer: C) 6.5 kmph

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2 1352
Q:

A boat goes 8 km upstream and 12 km downstream in 7hours. It goes 9 km upstream and 18 km downstream in 9 hours. What is the speed (in km/h) of the boat in still water?

 

A) 5 B) 4
C) 2 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:
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