Question

The odometer of a car reads 57321km when the clock shows the time 8:30a.m what is distance moved by a car if at 8:50 a.m the odometer reading has changed to 57336km . Calculate the speed of the car km per minute and per hour also.
please send me full easiest method​

Answer 1

➤ Given:

• Initial distance covered at 8:30 am = 57321 km
• Final distance covered at 8:50 am = 57336 km

➤ What To Find:

We have to find

• The speed of the car in both km per minute (km/m) and km per hour (km/h)

➤ How To Find:

To find we have to,

• Solve the question in two parts ie. Part 1 and Part 2, where Part 1 is what we have to find the total distance and time taken ie. our pre-answer needed for the final answer and in Part 2 we have to find the speed ie. our final answer.

Steps to be followed:-

• First, find the total distance covered is by subtracting the final distance from the initial distance. - Part 1
• Next, find the total time taken by subtracting the initial and final time taken. - Part 1
• Then, find the speed in both km/m and km/h using the formula. - Part 2

➤ Formula Needed:

$\tt Speed = \dfrac{Distance}{Time}$

➤ Solution:

PART 1:-

• Finding the total distance.

⟹ Total Distance = Final Distance - Initial Distance

Substitute the values,

⟹ Total Distance = 57336 km - 57321 km

Subtract the distance,

⟹ Total Distance = 15 km

• Finding the total time.

⟹ Total time = Initial Time - Final Time

Substitute the values,

⟹ Total time = 8:30 am - 8:50 am

Subtract the time,

⟹ Total time = 20 minutes

Convert it in hours,

⟹ Total time = 20/60 hour

Simplify them,

⟹ Total time = 1/3 hour

        ────────────

PART 2:-

• Finding the speed in km/h.

Using the formula,

$\sf \Longrightarrow Speed = \dfrac{Distance}{Time}$

Substitute the values,

$\sf \Longrightarrow Speed = \dfrac{15 \: km}{ \dfrac{1}{3} \: h}$

Take 3 to the numerator,

$\sf \Longrightarrow Speed = 15 \times 3$

Multiply 15 by 3,

$\sf \Longrightarrow Speed = 45 \: km/h$

• Finding the speed in km/m.

Using the formula,

$\sf \Longrightarrow Speed = \dfrac{Distance}{Time}$

Substitute the values,

$\sf \Longrightarrow Speed = \dfrac{15 \: km}{20 \: m}$

Divide 15 km by 60 m,

$\sf \Longrightarrow Speed = \dfrac{3}{4} \: km/m$

Convert it to decimal,

$\sf \Longrightarrow Speed = 0.75 \: km/m$

       ────────────

➤ Final Answer:

$\underline{\underline{\boxed{\rm \therefore The \: speed \: of \: the \: car \; is \: 45 \: km/h \: or \: 0.75 \: km/m. }}}$

Answer 2

➤ Given:

Initial distance covered at 8:30 am = 57321 km

Final distance covered at 8:50 am = 57336 km

➤ What To Find:

We have to find

The speed of the car in both km per minute (km/m) and km per hour (km/h)

➤ How To Find:

To find we have to,

Solve the question in two parts ie. Part 1 and Part 2, where Part 1 is what we have to find the total distance and time taken ie. our pre-answer needed for the final answer and in Part 2 we have to find the speed ie. our final answer.

Steps to be followed:-

First, find the total distance covered is by subtracting the final distance from the initial distance. - Part 1

Next, find the total time taken by subtracting the initial and final time taken. - Part 1

Then, find the speed in both km/m and km/h using the formula. - Part 2

➤ Formula Needed:

$\tt Speed = \dfrac{Distance}{Time}$

➤ Solution:

PART 1:-

Finding the total distance.

⟹ Total Distance = Final Distance - Initial Distance

Substitute the values,

⟹ Total Distance = 57336 km - 57321 km

Subtract the distance,

⟹ Total Distance = 15 km

Finding the total time.

⟹ Total time = Initial Time - Final Time

Substitute the values,

⟹ Total time = 8:30 am - 8:50 am

Subtract the time,

⟹ Total time = 20 minutes

Convert it in hours,

⟹ Total time = 20/60 hour

Simplify them,

⟹ Total time = 1/3 hour

        ────────────

PART 2:-

Finding the speed in km/h.

Using the formula,

$\sf \Longrightarrow Speed = \dfrac{Distance}{Time}$

Substitute the values,

$\sf \Longrightarrow Speed = \dfrac{15 \: km}{ \dfrac{1}{3} \: h}$

Take 3 to the numerator,

$\sf \Longrightarrow Speed = 15 \times 3$

Multiply 15 by 3,

$\sf \Longrightarrow Speed = 45 \: km/h$

Finding the speed in km/m.

Using the formula,

$\sf \Longrightarrow Speed = \dfrac{Distance}{Time}$

Substitute the values,

$\sf \Longrightarrow Speed = \dfrac{15 \: km}{20 \: m}$

Divide 15 km by 60 m,

$\sf \Longrightarrow Speed = \dfrac{3}{4} \: km/m$

Convert it to decimal,

$\sf \Longrightarrow Speed = 0.75 \: km/m$

       ────────────

➤ Final Answer:

$\underline{\underline{\boxed{\rm \therefore The \: speed \: of \: the \: car \; is \: 45 \: km/h \: or \: 0.75 \: km/m. }}}$