1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmainna [20.7K]
2 years ago
10

A train leaves a point A at 5 pm and reach another point B at 11 pm. Another train leaves point B at 7 pm and reach point A at 1

0 pm. At what point will the two trains meet?
Mathematics
2 answers:
Alexus [3.1K]2 years ago
3 0
Answer: I think the two trains meet at 9pm

Explanation: A=train a B=train b

If A is traveling for 6 hours and B is traveling for 3 hours, then you minus 3 hours from A, so you are left with 3 hours. Convert that into time, and you are left with 9pm!

Hope this helps! :)
Setler [38]2 years ago
3 0

Step-by-step explanation:

let's think this through.

train a goes from A to B in 6 hours. that means with a speed of 1/6 / hour.

train b goes from B to A in 3 hours, so it is twice as fast as train a = 2/6 / hour.

when train b leaves B (at 7pm), train a was already traveling for 2 hours (1/3 of the whole trip) leaving it with 4 hours to go (2/3 if the distance).

that means that at that point now both trains are moving against each other with a relative speed of 3 times the

speed of a (the original speed of a plus the double speed of b).

this is the same as one train standing, and the other going the whole distance with 3 times the speed of a.

the whole distance is 2/3 of AB.

the speed is 3/6 / hour = 1/2 / hour.

so, a single train with that speed would cover the total distance AB in 2 hours. or half of the distance in 1 hour.

the question now, how long for 2/3 of AB.

the distances relate by a factor :

1/2 × f = 2/3

f = 2/3 / 1/2 = 2/3 × 2/1 = 4/3

now we need to multiply also the time in the distance/time speed ratio by this factor.

therefore, 2/3 of the total distance is done in 1×4/3 = 4/3 of an hour.

that means both trains meet after 4/3 of an hour after 7pm.

that is 7pm plus 1 hour and 20 minutes giving us 8:20pm.

You might be interested in
A conjecture and the two-column proof used to prove the conjecture are shown. Given: S is the midpoint of segment R T. Segment R
Scrat [10]

given: s is the midpoint of rt

definition of midpoint: rs st

given: st xy

transitive property of congruence: rs xy

6 0
3 years ago
Read 2 more answers
How do u do this? HELPPPPPPPPPPPPPP
givi [52]
Bare with me a minute, I am still trying to figure it out. Here is what I have so far.

6 0
3 years ago
Name each polynomial by degree and number of terms of -7
denis-greek [22]

Answer: i couldn’t find the answer to this one either

Step-by-step explanation:

4 0
2 years ago
Which set of angles could be the interior angles of a triangles
qwelly [4]

Answer:

Step-by-step explanation:

3

6 0
2 years ago
Please help with this question<br> (10a³+20a²-5a)
grigory [225]
Factoring the expression would be 6a(2a^2+4a-1)
8 0
3 years ago
Other questions:
  • calculate the total potential energy in kj of an object whose mass is 20 kg when it is located 20 m below a datum level in a loc
    12·1 answer
  • Eight more than twice a number is less than twenty (what is the expression)
    6·1 answer
  • Howard planted 20 trees in 4 days. Janet planted 20 trees in 6 days. How long would it take them to plant 20 trees working toget
    11·1 answer
  • Round tol the nearest hunderdth <br><img src="https://tex.z-dn.net/?f=3.2649" id="TexFormula1" title="3.2649" alt="3.2649" align
    8·2 answers
  • A committee is to consist of two members. If there are five men and six women
    15·1 answer
  • Evaluate the following expression using the values given:
    6·1 answer
  • Can someone help me ASAP!!
    15·1 answer
  • Consider the equation 5x^2-10x+c=0. What values of c result in the equation having a complex solutions? Represent your answer on
    14·1 answer
  • The ages of the students in a statistics class are listed below. If the 18 year old student has a birthday and turns 19, how wil
    10·1 answer
  • If f(x)=x^2+2x-10 what is f(-2)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!