A car traveled at an average speed of 90 km/hr for 3 hours what was the distance traveled

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Rate, Time, Distance
Solving Speed, Time, Distance Problems Using Algebra
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There are three main types of average problems commonly encountered in school algebra:
Average (Arithmetic Mean)
Weighted Average and
Average Speed.

The following diagram shows the formula for average speed. Scroll down the page for more examples and solutions on calculating the average speed.

Example:
John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was his average speed for the whole journey?

Solution:
Step 1: The formula for distance is

Distance = Rate × Time
Total distance = 50 × 3 + 60 × 2 = 270

Step 2: Total time = 3 + 2 = 5

Step 3: Using the formula:

Answer: The average speed is 54 miles per hour.

Be careful! You will get the wrong answer if you add the two speeds and divide the answer by two.

How To Solve The Average Speed Problem?

How to calculate the average speed?

Example:
The speed paradox: If I drive from Oxford to Cambridge at 40 miles per hour and then from Cambridge to Oxford at 60 miles per hour, what is my average speed for the whole journey?

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How To Find The Average Speed For A Round Trip?

Example:
On Alberto’s drive to his aunt’s house, the traffic was light, and he drove the 45-mile trip in one hour. However, the return trip took his two hours. What was his average trip for the round trip?

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How To Find The Average Speed Of An Airplane With Good And Bad Weather?

Example:
Mae took a non-stop flight to visit her grandmother. The 750-mile trip took three hours and 45 minutes. Because of the bad weather, the return trip took four hours and 45 minutes. What was her average speed for the round trip?

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How To Relate Speed To Distance And Time?

If you are traveling in a car that travels 80km along a road in one hour, we say that you are traveling at an average of 80kn/h.

Average speed is the total distance divided by the total time for the trip. Therefore, speed is distance divided by time.

Instantaneous speed is the speed at which an object is traveling at any particular instant.

If the instantaneous speed of a car remains the same over a period of time, then we say that the car is traveling with constant speed.

The average speed of an object is the same as its instantaneous speed if that object is traveling at a constant speed.

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How To Calculate Average Speed In Word Problems?

Example:
Keri rollerblades to school, a total distance of 4.5km. She has to slow down twice to cross busy streets, but overall the journey takes her 0.65h. What is Keri’s average speed during the trip?

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How To Use Average Speed To Calculate The Distance Traveled?

Example:
Elle drives 169 miles from Sheffield to London. Her average speed is 65 mph. She leaves Sheffield at 6:30 a.m. Does she arrive in London by 9:00 a.m.?

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How To Use Average Speed To Calculate The Time Taken?

Example:
Marie Ann is trying to predict the time required to ride her bike to the nearby beach. She knows that the distance is 45 km and, from other trips, that she can usually average about 20 km/h. Predict how long the trip will take.

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We will discuss here how to find the distance when speed and time are given.

When speed and time are given, the distance travelled is calculated by using the formula:

Distance = Speed × Time

The unit of time in speed should be the same as that of the given time.

Solved examples to calculate distance when speed and time are given:

1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?

Solution:

Distance covered in 1 hour = 55 km.

We know, Distance = Speed × Time

Distance covered in 5 hrs = 55 × 5

= 275 km.

Therefore, distance covered in 5 hrs = 275 km.

2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?

Solution:

Speed = 45 km/hour

Time = 36 minutes

= 36/60 Hour (Since we know, 1 hour = 60 minutes)

= 3/5 hour

Distance = speed × time

= 45 × (3/5) km

= (45 × 3)/5 km

= 27 km.

3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?

Solution:

Distance covered in 1 hour = 62 km.

We know, Distance = Speed × Time

Distance covered in 7 hrs = 62 × 7

= 434 km.

Therefore, distance covered in 7 hrs = 434 km.

4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?

Solution:

Speed of the car = 70 km/hr

Time taken = 3 hours 30 minutes

= 3 ½ hours.

Distance covered in 1 hour = 70 km

Distance covered in 3 ½ hour = 70 × 3 ½ km

= 70 × 7/2 km

= 245 km.

5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?

Solution:

[1 ½ hr = (60 + 30) minutes = 90 minutes].

Distance covered in 1 minute = 32 metres.

Distance covered in 90 minutes = 32 × 90 = 2880 m.

We know, 1 m = 1/1000 km.

= 2880/1000 km.

= 2.88 km.

Note:

In the above example, since the speed is expressed in minutes, time has to be taken in minutes. We should take care that the unit of time in both speed and time is the same.

● Speed Distance and Time.

Relation of Speed Distance and Time

Express Speed in Different Units

To find Speed when Distance and Time are given.

To find the Distance when Speed and Time are given.

To find Time when Distance and Speed are given.

Worksheet on Expressing Speed in Different Units

Worksheet on Speed, Distance and Time.

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5th Grade Math Problems

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