Two cars travel at the same speed to different destinations. car a reaches its destination in 17 minutes. car b reaches its destination in 32 minutes. car b travels 12 miles farther than car a. how fast do the cars travel?

You can use the fact that both the cars were travelling at the same speed so we can take them equal to some variable.

The speed of the cars was 0.8 miles per hour

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Supposing that both the cars were travelling with the speed

Let the first car travels miles

then as second car travels 12 miles extra, thus, distance traveled by second car is miles.

Using the formula for speed, we have:

Distance traveled = miles

Speed =

Time taken =

Thus,

Distance traveled = miles

Speed =

Time taken =

Thus,

So, we got system of 2 linear equations in two variables.

Using the expression for x from first equation and substituting it in second equation, we get

Substituting this value in first equation to get the value of x

Thus,

The speed of the cars was 0.8 miles per hour

Learn more about system of linear equations here:

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speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A  reaches its destination in 17 minutes.

this means that speed of car A is given by:   miles/minutes  ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: miles/minutes

as speed of both cars are equal this means:

------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means

------(2)

on using equation (1) and (2) we have:

Hence the speed of car A is 0.8 miles/minutes  ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

Finally, we see that the probability of all three balls landing in the same bucket is