Ram’s teacher asked him to set the two hands of the clock (the hour hand and the minute hand) between 10:00 a.m. and 11:00 a.m. such that th

Question

Ram’s teacher asked him to set the two hands of the clock (the hour hand and the minute hand) between 10:00 a.m. and 11:00 a.m. such that they are 8 minutes apart. What time will the clock indicate for such settings?

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1 month 2021-08-13T12:32:44+00:00 1 Answer 0 views 0

1. Step-by-step explanation:

In one hour, MINUTE hand travels 60 minutes

HOUR hand travels just 5 minute spaces

Thus,

MINUTE hand gains (60 – 5) = 55 minutes over HOUR hand in 60 minutes

At 10 o’clock hour hand & minute hand difference = 50 minutes.

So to be 8 min apart, minute hand must be at (50 – 8 =) 42 minutes or (50 + 8 =) 58 minute s position

For 42 minutes, minute hand must travel 42 minutes more

In 60 minutes, minute hand gains 55 min.

In ? minutes it gains 42 minutes

∴ ? = 42 x 60 = 43 9 minutes past 10 o’ clock

55 11

For 58 minutes, minute hand must travel 58 minutes more

In 60 minutes, minute hand gains 55 min.

In ? minutes it gains 58 minutes

∴ ? = 58 x 60 = 63 3 minutes past 10 o’ clock = 1 hour + 3 3 minutes

55 11 11

That means 3 3 minutes past 11 o’ clock

11