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Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.
- a)12 km/h
- b)16 km/h
- c)15 km/h
- d)10 km/h
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two cyclists start simultaneously towards each other from Aurangabad a...
Let person A be the one moving from aurangabad and N moving from Ellora
Lets say they meet at a point C which is x km away from aurangabad and (28 - x) km away from Ellora.
The distance covered by A is x Km and by B is (28 - x) km.
This is covered in 1 hrs so the speed for :
A = x km/h
B = (28 - x) km / h
A has (28 - x) km to cover whereas B has x km more to cover.
Since we have the distance and the speeds for the two, we can get the time taken to reach respective destinations.
A : (28 - x) / x
B : x /(28 - x)
We know that A arrives 35 minutes later which is equivalent to 7 / 12 hrs
Putting this in an equation form we have :
x / (28 - x) + 7/12 = (28 - x) / x
Expanding the equation we get :
12 x^2 + 196 x - 7x^2 = 9408 - 672x + 12x^2
Collecting like terms together :
- 7x^2 + 868 x - 9408 = 0
Dividing through by a negative :
7x^2 - 868 x + 9408 = 0
Solving for X using the quadratic formula we have :
X = {868 +/-√(868x - 4 x7 x 9408)} / (2 x 7)
X = {868 +/- (700)} / 14
X = 12 or 112
We pick 12 since 112 is more than the total distance thus it is unrealistic.
Speed of B is : (28 - 12) = 16
16 m / s
Most Upvoted Answer
Two cyclists start simultaneously towards each other from Aurangabad a...
Since the two motorists meet after an hour, their relative speed is 28 kmph. Use options to check
out the values. Since the speed of the faster cyclist is asked for it has to be greater than 14 kmph.
Hence only check options > 14 kmph.
out the values. Since the speed of the faster cyclist is asked for it has to be greater than 14 kmph.
Hence only check options > 14 kmph.
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Community Answer
Two cyclists start simultaneously towards each other from Aurangabad a...
Since the two motorists meet after an hour, their relative speed is 28 kmph. Use options to check
out the values. Since the speed of the faster cyclist is asked for it has to be greater than 14 kmph.
Hence only check options > 14 kmph.
out the values. Since the speed of the faster cyclist is asked for it has to be greater than 14 kmph.
Hence only check options > 14 kmph.
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Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.a)12 km/hb)16 km/hc)15 km/hd)10 km/hCorrect answer is option 'B'. Can you explain this answer?
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Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.a)12 km/hb)16 km/hc)15 km/hd)10 km/hCorrect answer is option 'B'. 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 Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.a)12 km/hb)16 km/hc)15 km/hd)10 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.a)12 km/hb)16 km/hc)15 km/hd)10 km/hCorrect answer is option 'B'. Can you explain this answer?.
Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.a)12 km/hb)16 km/hc)15 km/hd)10 km/hCorrect answer is option 'B'. 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 Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.a)12 km/hb)16 km/hc)15 km/hd)10 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cyclists start simultaneously towards each other from Aurangabad and Ellora, which are 28km apart. An hour later they meet and keep pedalling with the same speed without stopping. Thesecond cyclist arrives at Ellora 35 minutes later than the first arrives at Aurangabad. Find thespeed of the cyclist who started from Ellora.a)12 km/hb)16 km/hc)15 km/hd)10 km/hCorrect answer is option 'B'. Can you explain this answer?.
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