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RITESH KUMAR

· started a discussion

· 1 Months ago

ritesh (Question: 186014.0 )

can you please explain in hindi

Question:
At what time between 3 and 4 O'clock will the minute hand be 4 minutes behind the hour hand ?
Options:
A) 3 hours 14 minutes
B) 3 hours 16 minutes
C) 3 hours 12 minutes
D) Cannot be determined
Solution:
Ans: (c)


second method:


At 3:00 , the minute hand is 15 min. spaces apart from the hour hand.


To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

15 min. are gained in 60/55x15 minutes= 16 and 4/11 minutes

The hands are coincident at 16 and 4/11 minutes past 3

At 3 hours and 16 and 4/11 = 16 - 4 = 12 minutes between 3 and 4 will the minute hand be 4 minutes behind the hour hand.

Alternate solution: 

    According to question, We know the approximate time is 3 hour 11 minute

    but we can find out the exact value =  minute hand \(\times\) 60/55

                                                        = 3 : (11 x 60/55)

                                                         = 3 : 12 min


RITESH KUMAR

· commented

· 1 Months ago

thanku

Knowledge Expert

· commented

· 1 Months ago

Dear student,

Detailed explnation in Hindi:

3 बजे घड़ी में, मिनट और घंटे की सुई के बीच 15 मिनट का अंतर है।

सम्पाती होने के लिए 15 मिनट आगे होना पड़ेगा।

60 मिनट में 55 मिनट आगे बढ़ता है |

इसलिए 15 मिनट में 60/55 * 15 मिनट = 16 और 4/11 मिनट में प्राप्त की जाती हैं

अतः 3 बजकर 16 और 4/11 मिनट पर घड़ी की सुईया सम्पाती होगी

3 बजकर और 16 और 4/11 = 16-4 = 12 मिनट , 3 और 4 के बीच मिनट की सुई घंटे की सुई से 4 मिनट पीछे होगी|


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