# between 6 pm and 7 pm, find the time when the two hands of a clock coincide.

### Mohammed

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## At what time are the hands of the clocks together between 6 and 7 ?

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Question

## At what time are the hands of the clocks together between 6and7 ?

**A**32

11 8 minutes past 6

**B**34

11 8 minutes past 6

**C**30

11 8 minutes past 6

**D**32

7 5 minutes past 6 Easy Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

Angle difference(θ)=

∣ ∣ ∣ ∣ ∣ 2 11 min−30×H ∣ ∣ ∣ ∣ ∣ θ=0,H=6,min=? ⇒0=30×6− 2 11 min ∴min=32 11 8

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## What is the exact time between 6 and 7 when the minutes hand and hour hand coincide?

Answer (1 of 7): The other way to solve this problem (less formulaic, much more primitive than Badarinath’s excellent answer) is to use a pattern of steps, much like in the limit of a series. However, I will not be using equations, but arithmetic. The limit will be observed conceptually, and the ...

What is the exact time between 6 and 7 when the minutes hand and hour hand coincide?

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Sort Marc Sergian

Spent a lot of time developing common sense.Author has 319 answers and 250.2K answer views4y

The other way to solve this problem (less formulaic, much more primitive than Badarinath’s excellent answer) is to use a pattern of steps, much like in the limit of a series. However, I will not be using equations, but arithmetic. The limit will be observed conceptually, and the series will not even be discussed unless otherwise requested.

It’s very interesting that this question came up: I thought I was the only one who thought about the times at which the hour and minute hands intersect on my own a year ago, finally taking the time to solve it one day.

Here was my approach:

Every time the minut

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Catalino Lansangan

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There are 11 times of overlaps of hour hand and minute in 12 hours, so, 22 times in 24 hours. The time of overlaps from 12:00, 1:05, 2:10, 3:15, 4:20. etc

So between 6 and 7, the exact time of overlaps is 6+6/11 hours=6.5454 hours=6+0.5454(60)=6:32:43.44

HsBadarinath

Former CE, Graduate, PG, Research Scholar and Faculty at Indian Institute of Technology, Roorkee (1964–2000)Author has 53.1K answers and 33.5M answer views4y

What is the exact time between 6 and 7 when the minute and hour hand coincide?

Let the time be 6:x.

At 6:x the minute hand is at x*6 = 6x deg from 12.

At 6:x the hour hand is at 6*30 +x*30/60 = 180+0.5x deg from 12.

Since the two hands coincide 6x = 180 + 0.5x, or

5.5x = 180, or x = 32.72727272

So at 6:32:43.2 do the two hands of a clock coincide.

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Related

At what time between 6 and 7 are the hands of a clock coincide?

6hrs and 32.72 minutes

. . . . Solution

At 6 o clock.. minute hand will be on 12 and hr hand on 6..

So, distance between them is 30 km (considering 60 min clock as 60 km)

Using relative speed concept,

(Hr hand speed 5km/hr and minute hand 60km/hr

Time to meet both hands =

Distn/Relative speed

30 / 55 ×60 32.72 Related questions

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What time is it when both hands on the clock are on the same number?

Assuming a 12 hour analog clock with numerals for hours and a hand being on the number means the hand is at a point represented by the number rather than a region then only at 12 AM or 12 PM. At other times when the minute hand passes over the hour hand the hour hand might be in the region of the number but not on it. Think about 1:05, the hour hand is not really on the number 1.

Bigil Ram

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At exactly 6:33 the minute and the hour hands coincide between 6 o’ clock and 7 o’ clock.

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Related

At what time in between 6:00 pm and 7:00 pm, will the minute hand be ahead of hour hand by 3 minutes?

Please refer to following post for comprehensive discussion on Clocks :

Clocks

If minute hand is 3 minutes ahead of hour hand, it means angle between the two hands is 18°.

Let the required time be 6:x pm

The minute hand will travel 6x° while hour hand will travel (6*60 + x)*1/2 = (180 + x/2)°

According to available information :

6x - 180 - x/2 = 18

=> 12x - 360 - x = 36

=> 11x = 396 => x = 396/11 = 36

=> Required time is 6:36 pm

:-) Chuck Britton

Author has 6.7K answers and 3.1M answer views1y

## At what time between 6 and 7 are the hands of a clock coincide.

At what time between 6 and 7 are the hands of a clock coincide.

Clocks

## At what time between 6 and 7 are the hands of a clock coincide.

A) 31 8 11 31811 minutes past 6 B) 32 8 11 32811 minutes past 6 C) 30 8 11 30811 minutes past 6

D) 30 minutes past 6

Correct Answer: B) 32 8 11 32811 minutes past 6

Description for Correct answer:

In order to coincide the minute hand has to gain 30 minutes space. Now 55 minutes are gained by minute hand in 60 minutes.

30 minutes will be gained in =

60 55 ×30= 36 11 6055×30=3611 = 32 8 11 32811 minutes.

So the hands will coincide

32 8 11 32811 minutes past 6.

Part of solved Clocks questions and answers : >> Elementary Mathematics >> Clocks

Comments Similar Questions

1). Find at what time between 7 and 8 o'clock will the hands of a clock will be the same straight line but not together

A). 30 minutes past 7

B). 5 minutes past 7

C). 5 5 11 5511 minutes past 7

D). 6 minutes past 7

-- View Answer

2). How many times do the hands of a clock point towards each other in a day.

A). 6 B). 11 C). 18 D). 22 -- View Answer

3). A clock is right at 9 a. m. The clock gains 15 minutes in 24 hours. What will be the right time when the clock indicates 12 a.m. on the following day.

A). 43 minutes past 11

B). 45 minutes past 11

C). 44 minutes past 11

D). 44 1 2 4412 minutes past 11 -- View Answer

4). The time of a clock as seen in a mirror is 3.15 The correct time is.

A). 8.45 B). 9.45 C). 8.15 D). None of these -- View Answer

5). What is the angle between the hour hand and minute hand at 3.40.

A). 120 ∘ 120∘ B). 130 ∘ 130∘ C). 140 ∘ 140∘ D). 150 ∘ 150∘ -- View Answer

6). 6, 12, 18, 24, 30, 36, ?

A). 42 B). 48 C). 52 D). 56 -- View Answer

7). 10, 15, 25, 40, 65, ?

A). 66 B). 105 C). 72 D). 84 -- View Answer

8). 48, 24, 72, 36, 108, 54, ?

A). 59 B). 144 C). 162 D). 176 -- View Answer

9). 1, 4, 9, 16, ? , 36, 49, 64

A). 17 B). 20 C). 24 D). 25 -- View Answer

10). 6, 7, 9, 12, 13, 15, ?

A). 18 B). 24 C). 36 D). 44 -- View Answer

Guys, does anyone know the answer?