How far can a train travel in 75 minutes, if it is going 40 mph?

2 answers:

7 0

50 miles, because it is going 60 minutes (1 hour) and that's 40, adding one fourth of 60 (which is 15) and one fourth of 40 (which is 10) it would have to be 50 miles.

Anni [7]3 years ago

4 0

Hey there! :D

We know that there are 60 minutes in a hour.

The car travels for 75 minutes.

75 minutes= 1 hour and 15 minutes.

1*40= 40

60/15= 4

We know that 15 minutes of driving is a quarter of an hour.

40/4= 10

40+10= 50

The car drove 50 miles.

I hope this helps!
~kaikers

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Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3

zalisa [80]

We have that
A(-2,-4) B(8,1) 

let
M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure