Mathematics, 04.04.2020 22:31, rileyjarvis87

Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr. How long after they leave the station will they be 50 km apart?

31 points if solved

Answers: 1

Show answers

Answers

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

Step-by-step explanation:

The given is,

One train travels at an average speed of 80 km/hr

The other travels at an average speed of 70 km/hr

Step:1

Formula to calculate the distance traveled by two trains,

Distance traveled by two trains = (Rate of speed of train one +

Rate of speed of other train) × Time

From the given the above equation becomes,

Let, h = Time taken to each the distance

50 = ( 80 + 70 ) h

50 = (150) h

$h = \frac{50}{150}$

= 0.3333 hours

= ( 0.333 × 60 ) ( ∵ 1 hr = 60 minutes )

h = 20 minutes

Step:2

Check for solution,

From equation (1),

50 = ( 80+70 ) (0.3333)

50 = (150)(0.3333)

50 = 50

Result:

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart.

answered: Guest

answer: the answer is 5/22

step-by-step explanation: if you subtract 17 from 22 the answer is 5 therefore the remainder of students are female

answered: Guest

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

$\newline{\text{the rate of change is change per unit time}}$ $\newline{\text{for (x,y), rate of change is }\frac{y_2-y_1}{x_2-x_1} \text{ or change in y divided by change in x}}$ $\newline{\text{for function 1, the cost goes up by 75-45=30 each time every hour}}$ $\newline{\text{that means that the slope of function 1 is 30 per hour}}$ $\newline{\text{for the 2nd function, 40 is added every hour. therefor, the slope is 40 per hour}}$ $\bigskip\newline{\text{since 40 per hour> 30 per hour, function 2 has a greater rate of change than function 1}}$ $\bigskip\newline{\text{the y intercept is the y value when x is 0}}$ $\newline{\text{for function 1, the y value when x is 0 is 45}}$ $\newline{\text{for function 2, the y value when x is 0 (or the flat rate) is 50}}$ $\newline{\text{since 50> 45, function 2 has a greater y intercept than funciton 1}}$ $\bigskip\bigskip\newline{\text{the answers are: }}$ $\newline{\text{ function 2 has a greater rate of change than function 1}}$ $\newline{\text{function 2 has a greater y-intercept than function 1.}}$