Question

Java traveled 135 miles in 3 hours. Andrew traveled 228 miles in 6hours. Both jada and Andrew traveled at a constant speed. 1. How far did jada travel in 1 hr? 2. How fard did Andre travel in hour 3. Wgo traveled faster? Explain or show your reasoning

Answer 1

Answer: Jada travels faster at a speed of 45mph

Explanation:

When you divide the overall miles from the time it takes you get the miles per hour.

Jada: 135/3= 45

Andre: 228/6= 38

Jada travels at 45mph as Andre travels at 38mph.

Hope this helps!

Answer 2

1. Java traveled 45 miles in 1 hour.

2. Andrew traveled 38 miles in 1 hour.

3. Java traveled faster.

Explanation:

1. How far did Java travel in 1 hr?

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So:
`x=(c*b)/(a)`

By knowing that Java traveled at a constant speed it is possible to know that it travels the same distance every hour. Then the direct rule of three can be applied in this case as follows: if Java traveled 135 miles in 3 hours, how many miles did it travel in 1 hour?

`miles traveled=(1 hour*135 miles)/(3 hours)`

miles traveled= 45

Then, Java traveled 45 miles in 1 hour.

2. How fard did Andrew travel in 1 hour?

Applying the same reasoning as in the previous case it is possible to determine the amount of miles that Andrew traveled: if Andrew traveled 228 miles in 6 hours, how many miles did he travel in 1 hour?

`miles traveled=(1 hour*228 miles)/(6 hours)`

miles traveled= 38

Then, Andrew traveled 38 miles in 1 hour.

3. Who traveled faster?

To know who traveled faster, you should know the speed, this is the amount of space traveled per unit of time with which a body (in this case Java or Andrew) travels.

The mile per hour (mph) is a unit of speed measurement that expresses the number of miles traveled per hour. This is the unit of measure used in this case. Using the previously calculated values, it is possible to say that Java moves at a speed of 45 mph and Andrew moves at a speed of 38 mph. As the speed of Java is higher, then Java traveled faster.