Q. A boat can travel at a speed of 15 km/h in still water. If the speed of the stream is 3 km/h, what is the speed of the boat downstream?
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of stream = 15 + 3 = 18 km/h.
Correct Answer:
C
— 18 km/h
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Q. A boat can travel at a speed of 8 km/h in still water. If it takes 4 hours to travel upstream, how far can it go if the current is 2 km/h?
A.
16 km
B.
20 km
C.
24 km
D.
32 km
Show solution
Solution
Speed upstream = Speed in still water - Speed of current = 8 km/h - 2 km/h = 6 km/h. Distance = Speed × Time = 6 km/h × 4 hours = 24 km.
Correct Answer:
C
— 24 km
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Q. A boat takes 10 hours to go 40 km upstream and 8 hours to return downstream. What is the speed of the stream?
A.
1 km/h
B.
2 km/h
C.
3 km/h
D.
4 km/h
Show solution
Solution
Speed upstream = 40 km / 10 h = 4 km/h. Speed downstream = 40 km / 8 h = 5 km/h. Let speed of boat = x, then x - s = 4 and x + s = 5. Solving gives s = 1 km/h.
Correct Answer:
B
— 2 km/h
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Q. A boat takes 2 hours to go 20 km downstream and returns in 4 hours. What is the speed of the stream?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Speed downstream = 20 / 2 = 10 km/h. Speed upstream = 20 / 4 = 5 km/h. Speed of stream = (10 - 5) / 2 = 2.5 km/h.
Correct Answer:
A
— 2 km/h
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Q. A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 2 = 10 km/h.
Correct Answer:
B
— 12 km/h
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Q. A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 4 = 8 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat takes 3 hours to go 36 km upstream. If the speed of the current is 3 km/h, what is the speed of the boat in still water?
A.
9 km/h
B.
12 km/h
C.
15 km/h
D.
18 km/h
Show solution
Solution
Speed upstream = Distance/Time = 36 km / 3 hours = 12 km/h. Speed in still water = Speed upstream + Speed of current = 12 km/h + 3 km/h = 15 km/h.
Correct Answer:
B
— 12 km/h
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Q. A boat takes 4 hours to go 40 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed upstream = Distance / Time = 40 / 4 = 10 km/h. Speed of boat = Speed upstream + Speed of stream = 10 + 2 = 12 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat takes 5 hours to travel 50 km upstream. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
Show solution
Solution
Speed upstream = 50 / 5 = 10 km/h. Speed in still water = Speed upstream + Speed of current = 10 + 5 = 15 km/h.
Correct Answer:
B
— 15 km/h
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Q. A boat travels 100 km downstream in 10 hours. If the speed of the stream is 10 km/h, what is the speed of the boat in still water?
A.
5 km/h
B.
10 km/h
C.
15 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = 100 km / 10 h = 10 km/h. Speed of boat = Speed downstream - Speed of stream = 10 - 10 = 0 km/h.
Correct Answer:
D
— 20 km/h
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Q. A boat travels 100 km downstream in 5 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
Show solution
Solution
Speed downstream = 100 km / 5 h = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 5 km/h = 15 km/h.
Correct Answer:
C
— 25 km/h
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Q. A boat travels 15 km upstream and 15 km downstream in a total time of 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
A.
9 km/h
B.
10 km/h
C.
12 km/h
D.
15 km/h
Show solution
Solution
Let speed of boat = x km/h. Time upstream = 15 / (x - 3) and downstream = 15 / (x + 3). Total time = 15/(x-3) + 15/(x+3) = 3. Solving gives x = 9 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat travels 15 km upstream in 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
A.
6 km/h
B.
9 km/h
C.
12 km/h
D.
15 km/h
Show solution
Solution
Speed upstream = 15 / 3 = 5 km/h. Speed of boat = Speed upstream + Speed of stream = 5 + 3 = 8 km/h.
Correct Answer:
B
— 9 km/h
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Q. A boat travels 20 km upstream and 30 km downstream in a total time of 5 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Let speed of boat = x km/h. Time upstream = 20 / (x - 2) and time downstream = 30 / (x + 2). Thus, (20 / (x - 2)) + (30 / (x + 2)) = 5. Solving gives x = 12 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat travels 30 km downstream and returns upstream in a total time of 5 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Let speed of boat = x km/h. Time downstream = 30/(x+2) and upstream = 30/(x-2). Total time = 30/(x+2) + 30/(x-2) = 5. Solving gives x = 10 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat travels 40 km downstream and 30 km upstream in a total time of 6 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Let speed of boat = x km/h. Time downstream = 40 / (x + 4) and time upstream = 30 / (x - 4). Thus, (40 / (x + 4)) + (30 / (x - 4)) = 6. Solving gives x = 14 km/h.
Correct Answer:
B
— 12 km/h
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Q. A boat travels 40 km downstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = 40 / 3 = 13.33 km/h. Speed in still water = Speed downstream - Speed of current = 13.33 - 4 = 9.33 km/h.
Correct Answer:
C
— 14 km/h
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Q. A boat travels 50 km upstream and 70 km downstream in a total time of 10 hours. If the speed of the boat in still water is 15 km/h, what is the speed of the current?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Let the speed of current be x km/h. Time upstream = 50/(15-x) and time downstream = 70/(15+x). Setting up the equation: 50/(15-x) + 70/(15+x) = 10.
Correct Answer:
C
— 4 km/h
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Q. A boat travels 60 km downstream in 3 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the current?
A.
5 km/h
B.
10 km/h
C.
15 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = Distance/Time = 60 km / 3 hours = 20 km/h. Speed of current = Speed downstream - Speed in still water = 20 km/h - 20 km/h = 0 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat travels 60 km downstream in 3 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the stream?
A.
5 km/h
B.
10 km/h
C.
15 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = Distance / Time = 60 / 3 = 20 km/h. Speed of stream = Speed downstream - Speed of boat = 20 - 20 = 0 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat travels 60 km downstream in 4 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
Show solution
Solution
Speed downstream = 60 km / 4 h = 15 km/h. Speed of boat = Speed downstream - Speed of stream = 15 - 5 = 10 km/h.
Correct Answer:
C
— 20 km/h
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Q. A boat travels 90 km downstream in 6 hours. If the speed of the current is 3 km/h, what is the speed of the boat in still water?
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
21 km/h
Show solution
Solution
Speed downstream = 90 / 6 = 15 km/h. Speed in still water = Speed downstream - Speed of current = 15 - 3 = 12 km/h.
Correct Answer:
B
— 15 km/h
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Q. A boat travels downstream at a speed of 15 km/h and takes 2 hours to cover a distance. What is the distance covered?
A.
30 km
B.
25 km
C.
20 km
D.
15 km
Show solution
Solution
Distance = Speed × Time = 15 km/h × 2 hours = 30 km.
Correct Answer:
A
— 30 km
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Q. A boat travels downstream for 4 hours at a speed of 15 km/h. How far has it traveled?
A.
45 km
B.
60 km
C.
75 km
D.
90 km
Show solution
Solution
Distance = Speed × Time = 15 km/h × 4 h = 60 km.
Correct Answer:
D
— 90 km
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Q. A book is marked at $200. If it is sold for $160, what is the percentage discount given?
A.
20%
B.
25%
C.
30%
D.
35%
Show solution
Solution
Discount = Marked Price - Selling Price = 200 - 160 = $40. Percentage Discount = (40/200) * 100 = 20%.
Correct Answer:
B
— 25%
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Q. A book is marked at $50. If it is sold for $40, what is the percentage discount given?
A.
20%
B.
25%
C.
30%
D.
15%
Show solution
Solution
Discount = Marked Price - Selling Price = 50 - 40 = 10. Percentage Discount = (10/50) * 100 = 20%.
Correct Answer:
B
— 25%
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Q. A book is sold for $45 after a discount of 10%. What is the marked price?
A.
$50
B.
$55
C.
$60
D.
$65
Show solution
Solution
Let the marked price be x. Selling Price = x - 0.10x = 0.90x. So, 0.90x = 45. Therefore, x = 45 / 0.90 = 50.
Correct Answer:
A
— $50
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Q. A book is sold for $45 after a discount of 10%. What was the marked price?
A.
$50
B.
$55
C.
$60
D.
$65
Show solution
Solution
Let the marked price be x. Selling Price = x - 10% of x = x - 0.1x = 0.9x. Therefore, 0.9x = 45. x = 45 / 0.9 = 50.
Correct Answer:
A
— $50
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Q. A book is sold for $45 after a discount of 10%. What was the original price of the book?
A.
$50
B.
$55
C.
$60
D.
$65
Show solution
Solution
Let the original price be x. Selling Price = x - 0.10x = 0.90x. Therefore, 0.90x = 45. x = 45 / 0.90 = $50.
Correct Answer:
A
— $50
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Q. A book is sold for $45 after a discount of 10%. What was the original price?
A.
$50
B.
$55
C.
$60
D.
$45
Show solution
Solution
Let the original price be x. After a 10% discount, Selling Price = x - 0.1x = 0.9x. 0.9x = 45, x = 45/0.9 = 50.
Correct Answer:
A
— $50
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