Answer

Verified

483.6k+ views

Hint:

Total distance travelled will be equal to distance travelled in one revolution that will it’s circumference multiplied by total revolution. You have to add distance travelled by short hand and distance travelled by long hand.

Complete step-by-step answer:

In two days total distance covered will be equal to distance covered by shorthand + distance covered by long hand of clock.

Distance covered by small hand or hour hand tip = total revolution \[ \times 2\pi r\]

=$\frac{{2 \times 24}}{{12}} \times 2 \times 3.14 \times 4 = 100.48{\text{cm}}$(in two days total hours is 48 and hour hand completes one revolution in 12 hours so you have to divide by 12 to find total revolution)

Distance travelled by large hand or minute hand tip =total revolution $ \times 2\pi {\text{r}}$

$ \Rightarrow \frac{{2 \times 24}}{1} \times 2 \times 3.14 \times 6 = 1808.64{\text{cm}}$

In two days total hours is 48 and a minute hand completes one revolution in 1 hour so to find the total number of revolutions you have to divide by 1.

So total distance covered= 100.48cm + 1808.64cm=1909.12cm

Note: -

Whenever you get this type of question the key concept of solving is you have to find total distance covered by short hand and total distance covered by long hand and add them to find total distance travelled. And to find the total number of revolutions you have to count the total number of hours and divide by as much number of hours in which that hand completes one revolution.

Total distance travelled will be equal to distance travelled in one revolution that will it’s circumference multiplied by total revolution. You have to add distance travelled by short hand and distance travelled by long hand.

Complete step-by-step answer:

In two days total distance covered will be equal to distance covered by shorthand + distance covered by long hand of clock.

Distance covered by small hand or hour hand tip = total revolution \[ \times 2\pi r\]

=$\frac{{2 \times 24}}{{12}} \times 2 \times 3.14 \times 4 = 100.48{\text{cm}}$(in two days total hours is 48 and hour hand completes one revolution in 12 hours so you have to divide by 12 to find total revolution)

Distance travelled by large hand or minute hand tip =total revolution $ \times 2\pi {\text{r}}$

$ \Rightarrow \frac{{2 \times 24}}{1} \times 2 \times 3.14 \times 6 = 1808.64{\text{cm}}$

In two days total hours is 48 and a minute hand completes one revolution in 1 hour so to find the total number of revolutions you have to divide by 1.

So total distance covered= 100.48cm + 1808.64cm=1909.12cm

Note: -

Whenever you get this type of question the key concept of solving is you have to find total distance covered by short hand and total distance covered by long hand and add them to find total distance travelled. And to find the total number of revolutions you have to count the total number of hours and divide by as much number of hours in which that hand completes one revolution.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Why is there a time difference of about 5 hours between class 10 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Draw a labelled sketch of the human eye class 12 physics CBSE