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alukav5142 [94]
2 years ago
15

A passenger train left a station traveling East at 88 mph. At the same time, a freight train left the same station traveling Wes

t at -70 mph. When the freight train is at 420 miles from the station, how far, in miles, is the passenger train from the station?
Mathematics
1 answer:
Gwar [14]2 years ago
3 0

The distance covered by the Passenger train is 528 miles.

We have situation in which a passenger train left a station traveling East at 88 mph and at the same time, a freight train left the same station traveling West at 70 mph.

We have to determine when the freight train is at 420 miles from the station, how far, in miles, is the passenger train from the station.

<h3>What is the formula to calculate the time for which body was moving if it covered distance = 'd' miles at a speed = 'v' mph?</h3>

The time taken can be calculated using the formula -

t = d/v

According to question, we have ;

For freight train,

Speed = 70  mph

Distance = 420 miles

Therefore, the time taken will be;

t = 420/ 70 = 6 hours

For passenger train,

The freight train moved for 6 hours. Since, both of them started at the same time, therefore,

d = speed of passenger train x time taken by freight train to move 6 hours.

d = 88 x 6 = 528 miles

Hence, the distance covered by the Passenger train is 528 miles.

To solve more questions on this concept;

brainly.com/question/16247158

#SPJ1

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3 0
3 years ago
Please Help ASAP!!!!
KIM [24]

Answer:

m\angle M = 98\degree

Step-by-step explanation:

As we know that:

Sum of the measure of all interior angles of a triangle is always 180°.

\therefore (3x-16)\degree+(x+6)\degree+ x\degree = 180\degree\\\therefore (5x-10)\degree = 180\degree\\5x-10 = 180\\5x = 180 + 10\\5x = 190\\x= \frac{190}{5}\\x= 38\\\because m\angle M = (3x-16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (114 -16)\degree\\\therefore m\angle M = 98\degree

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Answer:

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Step-by-step explanation:

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The diameter of a reamed hole is 70.36 mm.

It is required to find the radius required to draw the hole.

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So, the radius setting used to draw the hole is 35.18 mm.

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3 years ago
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