One quarter of the time till now from midnight and half of the time remaining from now up to midnight adds to the present time. What is the present time? can u give me the solution with procedure plzzzz

Questions by k srujana   answers by k srujana

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uday kiran

  • Jun 5th, 2006
 

the only time which satisfies the question is 4pm, therefore from midnight to 4pm is 16hrs and from 4pm to midnight it is 8hrs........ and therefore 16/4=8/2 and therefore answer is 4pm(present time)

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tarun anand

  • Jul 18th, 2006
 

But how is it possible, it is clearly mentioned in quedtion that time should be added to get the present time. so can anybody solve it.

Thank you.

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Shobha k

  • Aug 3rd, 2006
 

hi

this is Shobha

i hav a solution for your question

its like this.......

Consider the present time as 'x'

so 1/4 (x) + 1/2 (24-x) =x ;

By solving this equation you wil get x as 9:36 am.

Infrom me back if you dont agree with this answer

Shobha K

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I think he just asked the present time...can't we answer by looking at our watch...i think thats the most simple answer...if u have any objection...let me know...

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I have calculated...your answer is is correct as per calculation...but I think he just asked the present time...logically thinking can't we answer by looking at our watch...i think thats the most simple answer...but it doesn't matches with the Q restriction...what do you think...let me know...

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harshadd

  • Jun 1st, 2010
 

Its mid night now. 0 hrs and 24 hrs is the same. so calculate taking 24 hrs as  first midnight.

HRS Ctime QTR of time
since Midnight
half the
time left to Midnight
0 0 12 12
1 0.25 11.5 11.75
2 0.5 11 11.5
3 0.75 10.5 11.25
4 1 10 11
5 1.25 9.5 10.75
6 1.5 9 10.5
7 1.75 8.5 10.25
8 2 8 10
9 2.25 7.5 9.75
10 2.5 7 9.5
11 2.75 6.5 9.25
12 3 6 9
13 3.25 5.5 8.75
14 3.5 5 8.5
15 3.75 4.5 8.25
16 4 4 8
17 4.25 3.5 7.75
18 4.5 3 7.5
19 4.75 2.5 7.25
20 5 2 7
21 5.25 1.5 6.75
22 5.5 1 6.5
23 5.75 0.5 6.25
24 6 0

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sarabjit

  • Jun 2nd, 2010
 

NOTE : consider time in 24 hrs mode.

Let the current time be x
 
  i] one quarter of current time from midnight[00:00hrs] [equals] x/4
 ii] Half of the time remaining from now to midnight [equals] (24-x)/2
iii] Current time equals (i)+(ii)

therefore x equals (x/4)+(24-x)/2

=>X [equals] X+48-2x/4
=>X [equals] 48-x/4
=>4x[equals]48-x
=>5x[equals]48
=>X[equals]9.6  i.e 9hrs 6min
 
CROSS CHECK
1] 1/4 of 9.6 [equals] 2.4 
2] (24-9.6)/2=7.2
Current time = 2.4+7.2 =9.6

Therefore Current Time = 9Hrs 6Min

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harshadd

  • Jun 2nd, 2010
 

Let the current time be T
A] one quarter of current time from midnight[00:00hrs] [equals] T/4
B] Half of the time remaining from now to midnight [equals] (24-T)/2
T] Current time equals A + B

Therefore T equals (T/4)+(24-T)/2

:. T  = (T+48-2T)/4
:. 4T  = 48 - T
:. 5T  = 48
:. T  = 48/5 = 9.6 = 9.0 + 0.6

In ARITHMATIC It is 9.6
ie. 9 minutes + 0.6 minutes
ie. 9 minutes + 36 seconds
09:36 am is the right answer

Cross Check
1] 1/4 of 09.36 HRS is 02.24 hrs
2] Remaining Hours till midnight from 09:36 am is 14:24 HRS (24:00-09:36)
Half of 14:24 is 07:12

Current time 02.24+07:12 = 09:36

Therefore Current Time (and Correct Answer) is 9Hrs 36Min
TIP: Try using Excel Sheet to Calculate Time
If You are bad in calculating Hours-Minutes-Seconds.

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