Respuesta :

75 miles per hour is the rate of train.

what is the formula of speed?

Formula of speed = distance/time

let,

s1 , speed of A train = s

s2, Speed of B train = s

t1, time of travel for train A = 2.5h

t2, time of travel for train B = 4 h

d1, distance traveled by train A

distance travel by train A = speed*time

                                         = s1*t1

d2, distance traveled by train B

distance travel by train A = speed*time

                                         = s2*t2

Total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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75 miles per hour is the rate of the train.

what is the rate of the train?

Given:

  • Train A and Train B leave a central station at the same time.
  • They travel at the same speed, but in opposite directions, with train A heading towards station A.
  • Train B heading towards station B.
  • Train A reaches station A after 2 and 1/2 hours.
  • Train B reaches station B after 4 hours.
  • Station A and Station B are 585 mi apart.

Find:

  • Rate of the trains.

Solution:

Formula of speed = distance/time

Let us consider

Speed of A train(s1) = s

Speed of B train(s2) = s

Time of travel for train A(t1) = 2.5h

Time of travel for train B(t2) = 4 h

Distance traveled by train A(d1)

                                        = speed*time

                                        = s1*t1

Distance traveled by train B(d2)

                                        = speed*time

                                        = s2*t2

The total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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https://brainly.com/question/28044923

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