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07 Oct 2016, 21:02
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Difficulty:
55%
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Question Stats:
83% (02:59) correct
17%
(00:12)
wrong
based on 6
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Yana and Gupta leave points x and y, towards y and x respectively, simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?
A. 72 kmph
B. 39 mph
C. 32 kmph
D. 34 kmph
E. 25 kmph
I wonder if anyone has a shortcut or unique way of solving such a question. Thank you!
A. 72 kmph
B. 39 mph
C. 32 kmph
D. 34 kmph
E. 25 kmph
I wonder if anyone has a shortcut or unique way of solving such a question. Thank you!
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
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07 Oct 2016, 22:45
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Y's speed/G's speed = sqrt(G's time to reach the opposite direction/Y's time to reach the opposite direction)
48/x= sqrt(9/4)
x = 48*2/3 hence Gupta's speed is 32(Option C)
48/x= sqrt(9/4)
x = 48*2/3 hence Gupta's speed is 32(Option C)
07 Oct 2016, 23:13
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To solve this question easily , you have to first recognize that Speed and Time are inversely proportional.
1. Lets consider "X" is the time taken for both Yana and Guptha to meet at a certain point.After that yana took 4 hours and Guptha take 9 hours to meet opposite ends respectively.That means
Yana takes X+4 hours and Guptha takes X+9 hours to travel the same distance , hence Ration of Time taken by Yana and Guptha is X+4 : X+9 that implies Ratio of speeds of Yana and Guptha is X+9 : X+4
We know the Speed of Yana as 48 KMPH and we can draw the speed of Guptha as 48*X / 9
Hence we equate Speeds of Yana and Guptha as (48)/(48*X/9) = (X+9) / (X+4 )
Solving we get X = 6 Hours
Speed of Guptha is = 48*X/9 = 32 KMPH
Please hit kudos if you like this way.
1. Lets consider "X" is the time taken for both Yana and Guptha to meet at a certain point.After that yana took 4 hours and Guptha take 9 hours to meet opposite ends respectively.That means
Yana takes X+4 hours and Guptha takes X+9 hours to travel the same distance , hence Ration of Time taken by Yana and Guptha is X+4 : X+9 that implies Ratio of speeds of Yana and Guptha is X+9 : X+4
We know the Speed of Yana as 48 KMPH and we can draw the speed of Guptha as 48*X / 9
Hence we equate Speeds of Yana and Guptha as (48)/(48*X/9) = (X+9) / (X+4 )
Solving we get X = 6 Hours
Speed of Guptha is = 48*X/9 = 32 KMPH
Please hit kudos if you like this way.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
