3 examples of constant speed !!

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Jawaban: #1:

Jawaban:

Constant Speed - Examples

Example 1 :

David drove for 3 hours at a rate of 50 miles per hour, for 2 hours at 60 miles per hour and for 4 hours at a rate of 70 miles per hour. What was his constant-speed for the whole journey ?

Solution :

Step 1 :

Formula for constant-speed = Total distance / Total time taken.

And also, for for distance = Rate x Time

Step 2 :

Distance covered in the first 3 hours :

= 50 x 3

= 150 miles

Distance covered in the next 2 hours :

= 60 x 2

= 120 miles

Distance covered in the last 4 hours :

= 70 x 5

= 350 miles

Step 3 :

Then, total distance is

= 150 + 120 + 350

= 620 miles

Total time is

= 3 + 2 + 5

= 10 hours

Step 4 :

So, constant speed is

= 620 / 10

= 62 miles per hour

Therefore, the constant speed for the whole journey is 62 miles per hour.

Example 2 :

A person travels from Newyork to Washington at the rate of 45 miles per hour and comes backs to the Newyork at the rate of 55 miles per hour. What is the constant speed for the whole journey ?

Answer :

Step 1 :

Here, both the ways, he covers the same distance.

Then, the formula to find average speed is

= 2xy / (x+y)

Step 2 :

x ----> Rate at which he travels from Newyork to Washington

x = 45

y ----> Rate at which he travels from Newyork to Washington

y = 55

Step 3 :

So, the average speed is

= (2 ⋅ 45 ⋅ 55) / (45 + 55)

= 4950 / 100

= 49.5

So, the constant speed for the whole journey is 45 miles per hour.

Example 3 :

A man takes 10 hours to go to a place and come back by walking both the ways. He could have gained 2 hours by riding both the ways. The distance covered in the whole journey is 18 miles. Find the constant speed for the whole journey if he goes by walking and comes back by riding.

Solution :

Step 1 :

Given : A man takes 10 hours to go to a place and come back by walking both the ways.

That is,

Walking + Walking = 10 hours

2 ⋅ Walking = 10 hours

Walking = 5 hours

Given : He could have gained 2 hours by riding both the ways.

That is,

Riding + Riding = 8 hours

2 ⋅ Riding = 8 hours

Riding = 4 hours

Step 2 :

If he goes by walking and comes back by riding, time taken by him :

Walking + Riding = 5 + 4

Walking + Riding = 9 hours

Step 3 :

Total time taken = 9 hours

Total distance covered = 18 miles

Step 4 :

So, the average speed is

= Total distance / Total time

= 18 / 9

= 2

So, the required constant speed is 2 miles per hour.

Penjelasan:

Constant speed is also called as uniform rate which involves something travelling at fixed and steady pace or else moving at some average speed.

For example, A car travels 3 hours. It travels 30 miles in the first hour, 45 miles in the second hour and 75 miles in the third hour.

Speed in the first hour = 30 miles / hour

Speed in the second hour = 45 miles / hour

Speed in the third hour = 75 miles / hour

We have three different speeds in the three hour journey.

If we want to find the constant speed for the whole journey of three hours, we have to find the ratio between the total distance covered and total time taken.

That is, constant speed = (30 + 45 + 75) / 3

= 150 / 3

= 50 miles / hour

Based on the above example, the formula is to find the constant speed is given

Jawaban: #2:

Jawaban:

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