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mathslover

  • one year ago

Rajesh went out between 5 and 6 for a work. He came to home between 6 and 7. When he came he saw that the hands have exactly changed places. When did Rajesh went out?

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  1. mathslover
    • one year ago
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    @amistre64 @sami-21 @ghazi @Callisto Please help

  2. ghazi
    • one year ago
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    well by changing hands, what do you mean, does it mean, interchanging position of hour and minute hand?

  3. mathslover
    • one year ago
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    I also don't know what does the book mean by it but I do have the answer. Ok! Let us take the meaning as specified by you @ghazi ... what answer you arrived ?

  4. ghazi
    • one year ago
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    well i consider as interchanging of minute and hour hands , which means both will acquire new position if turned by 180 degrees , lets say its 6 o clock then minute hand is at 12 and hour is at 6 and if hands are interchanged then it will be 12.30 , thats what i concluded

  5. ghazi
    • one year ago
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    not 12.30 but a bit less, or lets say its 5 past 7 then if hands are interchanged , it will be 1.35 , thats what i can think of , but i guess here book says about mirror image like 5.25 and its mirror image is 6.40 , which satisfies your question

  6. mathslover
    • one year ago
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    No but that is not the answer...

  7. mathslover
    • one year ago
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    I think the question is wrong,,,,,

  8. ghazi
    • one year ago
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    changing hands is confusing me , i think its 5.30 and then 6.25

  9. ghazi
    • one year ago
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    like her left at 5.30 and if hands are changed it will be 6.25

  10. ghazi
    • one year ago
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    *he

  11. amistre64
    • one year ago
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    yes, clocks used to have hands on them to tell the time with :)

  12. amistre64
    • one year ago
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    |dw:1360761423073:dw|

  13. ghazi
    • one year ago
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    unfortunately its obsolete and now digital watch is preferred lol for higher precision and accuracy

  14. ghazi
    • one year ago
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    so i guess i was correct lol

  15. amistre64
    • one year ago
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    5.30 to 6.30 is a suitable result

  16. amistre64
    • one year ago
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    but then we are talking about angles .... and not time itself lol

  17. mathslover
    • one year ago
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    Well I don't think tht question means for mirror images..

  18. ghazi
    • one year ago
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    exactly, i am trying to think of mathematical explanation and @mathslover we didnt use mirror image , we just interchanged the position of hands in your given time interval, 5 at 6 and 6 at 5 ;)

  19. amistre64
    • one year ago
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    |dw:1360761555731:dw| we have different angular speeds to acowingspan for

  20. mathslover
    • one year ago
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    oh sorry

  21. ghazi
    • one year ago
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    its okay but try to think that mathematically :) that would be fun

  22. amistre64
    • one year ago
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    lol; so wither account is a bad word? or was my typo a bad wrod

  23. ghazi
    • one year ago
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    wingspan stands for male genital lol

  24. ghazi
    • one year ago
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    i was horrified by your word , what you wanted to write lol hehe

  25. amistre64
    • one year ago
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    the hour hand has a constant speed of 360 per hour; the minute hand has a speed of 360/60 per hour. if you can narrow down how to account for a general position you can use the speeds to find a related rates problem maybe .... or it could be one of the harry and sally paint a room things

  26. amistre64
    • one year ago
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    we know the time had to be less than an hour, since the minute hand didnt make it all the way around ....

  27. amistre64
    • one year ago
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    lets assume 50 minutes just to cover the span from the 5 to the 7 and my speeds are off

  28. amistre64
    • one year ago
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    minute hand is 360 per hour; and hour hand is 360+360/12

  29. ghazi
    • one year ago
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    minute hand moves faster than hour, minute hand completes 360 degrees in one hour and hour hand covers only 30 degree in one hour

  30. amistre64
    • one year ago
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    ...lol, its been so long since i looked at a clock i spose

  31. amistre64
    • one year ago
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    lets assume for a minute that im an idiot ;)

  32. mathslover
    • one year ago
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    ^ http://www.edunetworking.com/PlayVideo.aspx?u=fFWIDQNe0nQ&Class=CAT%20&Subject=Logical%20Reasoning

  33. amistre64
    • one year ago
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    so a tortise and a hare are chasing ech other around a track at defined speeds. how long does it take the tortise to reach where the hare was, at the same time that the hare reaches the position that the tortise was ....

  34. AravindG
    • one year ago
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    but the hare slept on its way :O

  35. amistre64
    • one year ago
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    lazy hares :)

  36. mathslover
    • one year ago
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    hehe

  37. ghazi
    • one year ago
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    alright fellas ;) i guess we are done ;) lets go back to get lazy

  38. amistre64
    • one year ago
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    also need to determine the angle of separation at a given time .... im sure someones figured this out in like 1587bc

  39. amistre64
    • one year ago
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    |dw:1360762766659:dw| for a given degree alpha we need to determine when "equivalent" distances get traveled at a given speed; when alpha = 360-alpha does that make any sense?

  40. amistre64
    • one year ago
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    the time interval is the same for each distance traveled \[hour: \frac{30^o}{60sec}t=\alpha^o\\minute:\frac{360^o}{60sec}t=360^o-\alpha\] 2 equations in 2 unknowns right?

  41. amistre64
    • one year ago
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    \[\frac{390^o}{60}t=360^o\] \[t=60sec~\frac{360^o}{390^o}=55\frac{5}{13}sec\]

  42. amistre64
    • one year ago
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    \[\alpha=\frac{30^o}{60sec}*\frac{720}{13}sec=(\frac{360}{13})^o\] at what time between 5 and 6 are the hands that many degrees apart? id start at noon and do some additional calculations

  43. amistre64
    • one year ago
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    or start at 5 :)

  44. amistre64
    • one year ago
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    |dw:1360764111867:dw| \[\frac{360^o}{60}t-(150^o+\frac{30^o}{60}t)=(\frac{360}{13})^o\] solve for t

  45. amistre64
    • one year ago
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    and im writing sec for minutes for some reason ... ; so i get 5:32.31 as a starting time

  46. amistre64
    • one year ago
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    at any rate, i got a good idea, might have the speeds off tho so dbl chk if your interested in it:)

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