Three trains - one eastbound, one westbound, and one northbound - leave a city at the same time.

The speed of the northbound train is 20 miles per hour greater than the speed of the eastbound train.

After 9 hours, the distance between the westbound train and the eastbound train is 990 miles.

Question

03-05-2021
Mathematics

Answered

From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Get step-by-step guidance for all your technical questions from our dedicated community members.

Three trains - one eastbound, one westbound, and one northbound - leave a city at the same time.

The speed of the northbound train is 20 miles per hour greater than the speed of the eastbound train.

After 9 hours, the distance between the westbound train and the eastbound train is 990 miles.

Sagot :

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.

What Is The Best Description Of Realistic Fiction?A. Texts That Are Written In First Person About A Period In An Author's LifeB. Stories That Are Made Up But Mi

A System For Tracking Ships Indicates That A Ship Lies On A Path Described By [tex]4y^2 - X^2 = 12[/tex]. The Process Is Repeated, And The Ship Is Found To Lie

Multiply:[tex]\[ \left(-6 Y^2 + Y\right)(3 Y - 2) \][/tex][tex]\[ \begin{array}{l} \left(-6 Y^2\right)(3 Y) + \left(-6 Y^2\right)(-2) + Y(3 Y) + Y(-2) \\ -18 Y^

Which Is Syllable Is Stressed In Mezzanine

What Is The Value Of [tex]-3|15-s|+2s^3[/tex] When [tex]s=-3[/tex]?A. [tex]$-108$[/tex]B. 0C. 108D. 216

Scholars Have Written About The Importance Of Incorporating Multiculturalism And Social Justice Counseling Into All Aspects Of Counseling. What Is The Primary L

The Table Below Shows Last Year's Gross Income, Standard Deduction, And Number Of Exemptions For Four Different Workers.\begin{tabular}{|c|c|l|l|}\hline & \

In Humans, A Cleft Chin Is Dominant And No-cleft Is Recessive. Assume That Mendel's Method Of Crossing Two True-breeding Parents With Opposite Traits Is Followe

1. Determine Whether The Table Represents A Valid Probability Distribution And Explain In Each Case.\begin{tabular}{|c|c|}\hline[tex]$X$[/tex] & [tex]$P(x)$

Simplificar La Expresión:[tex]\[ E=\sqrt[n]{\frac{8 N+\sqrt[n]{\frac{16^{n^2}+8^{n^2}}{4^{n^2}+2^{n^2}}}}{2^n+1}} \text{.} \][/tex]

Raphealnwobiidn Raphealnwobiidn · Answer 1 · 2021-05-08T21:30:27-04:00

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but let me solve a similar question:

Three trains one eastbound, one westbound, and one northbound leave a city at the same time. The speed of the northbound train is 20 miles per hour greater than the speed of the eastbound train. After 6 hours, the distance between the westbound train and the eastbound train is 420 miles. Twice the speed of the westbound train is 30 miles per hour more than the speed of the northbound train. Find the speeds of the three trains.

Solution:

Speed is the time rate of change of distance. It is the ratio of distance to time taken. Speed is given by:

Speed = distance / time

Let x represent the speed of the eastbound train, y that of the westbound train and z that of the northbound train. Hence:

z = x + 20

x - z = -20 (1)

After 6 hours, the distance between the westbound train and the eastbound train is 420 miles. Hence:

6 hours * x + (6 hours * y) = 420

6x + 6y = 420

x + y = 70 (2)

Lastly:

2y = z + 30

2y - z = 30 (3)

Solving equations (1), (2) and (3) simultaneously gives:

x = 30 miles per hour, y = 40 miles per hour, z = 50 miles per hour.

Hence the speed of the eastbound train is 30 miles per hour, speed of the westbound train is 40 miles per hour and the speed of the northbound train is 50 miles per hour.

Sagot :

Other Questions