Learn Online Speed

Introduction :-

Distance word problems, repeatedly entitled as uniform rate problems, engage something travelling at set and stable speed or as well moving at an average speed.

The formulas that used in speed and distance problems are two basic formulas that relate distance, speed and time.

`Speed = (Distance) / ( Time)`

`Distance = Speed * Time.`

Now lets see the some online solved and practice problems that would be helpful in learning speed problems.

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Online learning Solved Problem:-

Problem 1:- If Rocky walks at 14 kilometer per hour instead of 10 kilometer per hour, he would have walked 40 kilometer extra. The actual distance traveled by him is:

Solution:-

Given

Rocky travels 40 kilometer extra if he walks 14 kilometer per hour instead of 10 kilometer per hour.

Let the actual distance travelled by rocky be X.

We know the formula that relates distance speed and time is

`Time = (distance) / (speed.)`

Rocky travels x kilometer at the rate of 10 kilometer per hour.

Rocky travels 40 more kilometers if he travels at the rate of 14 kilometer per hour.

`Time1 = X/ 10`

`Time 2 = X + 40 / 14.`

Time in both cases are same so time1 = time2.

So

`X/ 10 = X+ 40 / 14.`

By solving this we can find the actual distance travelled by Rocky.

`X/ 10 = X + 40 / 14.`

Multiply by 14 on both sides of the above equation.

`14 * X/ 10 = (X + 40) / 14 * 14`

Crossing out 14 and 14 on one side we get the simplified as

`14 * X/ 10 = (X + 40)`

Now multiply by 10 on both side of the above equation.

`10 * (14 * X) / 10 = 10 * (X + 40).`

Crossing out 10 and 10 on one side we get the simplified as

`14 *X = 10 * (X + 40).`

`14X = 10X + 10*40.`

`14 X = 10X + 400.`

Now subtract 10X on both sides of the above equation.

`14X - 10X = 10X + 400 -10X.`

`4X = 400`

Now divide it by 4 on both sides.

`(4X)/ 4 = 400/ 4.`

By simplifying it we get the answer as

`X = 100`

The actual distance walked by him was 100 miles.


Online learning practice Problem:-

Problem:- 1

Alex travels first 160 meters at 64 meters per hour and the next 160 meters at 80 meters per hour. Find the average speed for first 320 meters.

Answer:- 7.11 meters per hour.

Problem:- 2

Rosy travels first 100 meters at 25 meters per hour and the next 100 meters at 50 meters per hour. Find the average speed for first 100 meters.

Answer:- 6 meters per hour.