Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?

1 answer:

8 0

Speed (S) = Distance (D) / time (t)

First stretch

45 = D / 2

D = 45*2

D = 90 mp

How is the same distance:

Second stretch

S = 90 / t

Average speed (AS):

AS = (S1+S2) / 2

60 = [45+(90/t)] / 2

120 = 45+90/t

120-45 = 90/t

75 = 90/t

t = 90/75

t = 1,2 h

________________________

And now:

S = 90 / t

S = 90 / 1,2

S = 75 mph

You might be interested in

6 QUESTIONS!! Simplify, thankyou!!

dezoksy [38]

Answer: Check explanation

Step-by-step explanation: -g-6, 9d+3, -12y+20, 14n-29, -2c, x+21/2

3 0

3 years ago

Read 2 more answers

Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library.

monitta

Answer:

The answer is " $\frac{1}{25}$ "

Step-by-step explanation:

They might claim that perhaps the ratio to Raul would've been: $\frac{y}{x} = \frac{5}{125} = \frac{1}{25}$ per each 125(x) page, which he reviewed throughout a summer competition.

Raul's cost per unit for each paragraph reads is $\frac{1}{25}$ page points, that's why the model a link with the same unit rate. please find the graph in the attached file.

8 0

3 years ago

When you go shopping, you love to purchase new shirts. In your closet you notice that 2/6 are red shirts, 2/4 are shirts blue, 4

Katarina [22]

You are most likely to choose Blue

4 0

3 years ago

Read 2 more answers

Help solving this math problem

daser333 [38]

Diagram of two triangles

The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).

The diagram on the left is missing its hypotenuse - the variable c. The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.

Note: The hypotenuse is the longest side of a right triangle.

Word Problen

The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

${a}^{2} + {b}^{2} = {c}^{2}$