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The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, was
- a)18π
- b)14π
- c)16π
- d)12π
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The wheels of bicycles A and B have radii 30 cm and 40 cm, respective...
Distance covered by A in 1 revolution = 2π*30 = 60π
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Distance covered by B in 1 revolution = 2π*40 = 80π
Now, (5000+n)60π = 80πn
=> 15000= 4n-3n =>n=15000
Then distance travelled by B = 15000*80π cm = 12πkm
Hence, the speed = (12π X 60)/45= 16π
Most Upvoted Answer
The wheels of bicycles A and B have radii 30 cm and 40 cm, respective...
To solve this problem, we can use the formula for calculating speed, which is distance divided by time. We are given the time it took for bicycle B to travel a certain distance, so we need to find the distance traveled by both bicycles in order to calculate their speeds.
Let's assume that the distance traveled by both bicycles is 'd' km.
The number of revolutions made by a wheel is directly proportional to the distance traveled. Since each wheel of bicycle A required 5000 more revolutions than each wheel of bicycle B, we can set up the following equation:
Revolutions made by wheel A = Revolutions made by wheel B + 5000
The distance covered by a wheel in one revolution is equal to the circumference of the wheel.
Let's calculate the distance covered by each wheel:
- Distance covered by wheel A = 2πrA = 2π(30 cm) = 60π cm
- Distance covered by wheel B = 2πrB = 2π(40 cm) = 80π cm
Now, we can set up another equation using the distance and revolutions:
(d * 1000 * 100) cm = (Revolutions made by wheel A) * (Distance covered by wheel A)
(d * 1000 * 100) cm = (Revolutions made by wheel B + 5000) * (Distance covered by wheel B)
Simplifying the equation:
d * 1000 * 100 = (Revolutions made by wheel B + 5000) * (80π cm)
We are given that bicycle B traveled the distance in 45 minutes, which is equal to 45/60 = 0.75 hours.
Now, we can calculate the distance 'd' by substituting the values:
d * 1000 * 100 = (5000 + 5000) * (80π cm)
d = 10000 * 80π / (1000 * 100)
d = 8π
Finally, we can calculate the speed of bicycle B:
Speed of bicycle B = Distance / Time
Speed of bicycle B = (8π km) / (0.75 hours)
Speed of bicycle B = 16π km/h
Therefore, the correct answer is option C) 16π.
Let's assume that the distance traveled by both bicycles is 'd' km.
The number of revolutions made by a wheel is directly proportional to the distance traveled. Since each wheel of bicycle A required 5000 more revolutions than each wheel of bicycle B, we can set up the following equation:
Revolutions made by wheel A = Revolutions made by wheel B + 5000
The distance covered by a wheel in one revolution is equal to the circumference of the wheel.
Let's calculate the distance covered by each wheel:
- Distance covered by wheel A = 2πrA = 2π(30 cm) = 60π cm
- Distance covered by wheel B = 2πrB = 2π(40 cm) = 80π cm
Now, we can set up another equation using the distance and revolutions:
(d * 1000 * 100) cm = (Revolutions made by wheel A) * (Distance covered by wheel A)
(d * 1000 * 100) cm = (Revolutions made by wheel B + 5000) * (Distance covered by wheel B)
Simplifying the equation:
d * 1000 * 100 = (Revolutions made by wheel B + 5000) * (80π cm)
We are given that bicycle B traveled the distance in 45 minutes, which is equal to 45/60 = 0.75 hours.
Now, we can calculate the distance 'd' by substituting the values:
d * 1000 * 100 = (5000 + 5000) * (80π cm)
d = 10000 * 80π / (1000 * 100)
d = 8π
Finally, we can calculate the speed of bicycle B:
Speed of bicycle B = Distance / Time
Speed of bicycle B = (8π km) / (0.75 hours)
Speed of bicycle B = 16π km/h
Therefore, the correct answer is option C) 16π.
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The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, wasa) 18πb) 14πc) 16πd) 12πCorrect answer is option 'C'. Can you explain this answer?
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The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, wasa) 18πb) 14πc) 16πd) 12πCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, wasa) 18πb) 14πc) 16πd) 12πCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, wasa) 18πb) 14πc) 16πd) 12πCorrect answer is option 'C'. Can you explain this answer?.
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