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Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is
- a)22 cm/s
- b)44 cm/s
- c)66 cm/s
- d)132 cm/s
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X...
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Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X...
Given:
- The diameters of the wheels are 7 cm and 14 cm.
- The distance between the wheels is 1980 cm.
- Both wheels start rolling simultaneously from points X and Y towards each other in opposite directions.
- Both wheels make the same number of revolutions per second.
- The wheels meet after 10 seconds.
To find:
- The speed of the smaller wheel.
Let's calculate the distance covered by each wheel in 10 seconds.
Distance covered by the smaller wheel:
- The smaller wheel has a diameter of 7 cm, which means its radius is 7/2 = 3.5 cm.
- The circumference of the smaller wheel is 2πr = 2π(3.5) = 7π cm.
- In 1 second, the smaller wheel covers a distance of 7π cm.
- In 10 seconds, the smaller wheel covers a distance of 7π * 10 = 70π cm.
Distance covered by the larger wheel:
- The larger wheel has a diameter of 14 cm, which means its radius is 14/2 = 7 cm.
- The circumference of the larger wheel is 2πr = 2π(7) = 14π cm.
- In 1 second, the larger wheel covers a distance of 14π cm.
- In 10 seconds, the larger wheel covers a distance of 14π * 10 = 140π cm.
Since both wheels meet after 10 seconds, the sum of the distances covered by both wheels should be equal to the distance between them.
Distance covered by both wheels = Distance between the wheels
70π + 140π = 1980
210π = 1980
π = 1980/210
π ≈ 9.4286
Now, let's calculate the speed of the smaller wheel.
Speed = Distance/Time = 70π/10 = 7π cm/s
Approximating the value of π as 3.14, we get:
Speed ≈ 7 * 3.14 ≈ 21.98 ≈ 22 cm/s
Therefore, the speed of the smaller wheel is approximately 22 cm/s. Hence, option (a) is the correct answer.
- The diameters of the wheels are 7 cm and 14 cm.
- The distance between the wheels is 1980 cm.
- Both wheels start rolling simultaneously from points X and Y towards each other in opposite directions.
- Both wheels make the same number of revolutions per second.
- The wheels meet after 10 seconds.
To find:
- The speed of the smaller wheel.
Let's calculate the distance covered by each wheel in 10 seconds.
Distance covered by the smaller wheel:
- The smaller wheel has a diameter of 7 cm, which means its radius is 7/2 = 3.5 cm.
- The circumference of the smaller wheel is 2πr = 2π(3.5) = 7π cm.
- In 1 second, the smaller wheel covers a distance of 7π cm.
- In 10 seconds, the smaller wheel covers a distance of 7π * 10 = 70π cm.
Distance covered by the larger wheel:
- The larger wheel has a diameter of 14 cm, which means its radius is 14/2 = 7 cm.
- The circumference of the larger wheel is 2πr = 2π(7) = 14π cm.
- In 1 second, the larger wheel covers a distance of 14π cm.
- In 10 seconds, the larger wheel covers a distance of 14π * 10 = 140π cm.
Since both wheels meet after 10 seconds, the sum of the distances covered by both wheels should be equal to the distance between them.
Distance covered by both wheels = Distance between the wheels
70π + 140π = 1980
210π = 1980
π = 1980/210
π ≈ 9.4286
Now, let's calculate the speed of the smaller wheel.
Speed = Distance/Time = 70π/10 = 7π cm/s
Approximating the value of π as 3.14, we get:
Speed ≈ 7 * 3.14 ≈ 21.98 ≈ 22 cm/s
Therefore, the speed of the smaller wheel is approximately 22 cm/s. Hence, option (a) is the correct answer.
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Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X...
C) 66 cm/s
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Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel isa)22 cm/sb)44 cm/sc)66 cm/sd)132 cm/se)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel isa)22 cm/sb)44 cm/sc)66 cm/sd)132 cm/se)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel isa)22 cm/sb)44 cm/sc)66 cm/sd)132 cm/se)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel isa)22 cm/sb)44 cm/sc)66 cm/sd)132 cm/se)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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Solutions for Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel isa)22 cm/sb)44 cm/sc)66 cm/sd)132 cm/se)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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