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The distance between cities A and B is 600 km. A train left A and headed towards B at 60 km/hr. Another train left B and headed towards A at v km/hr. The trains met t hours after the time at which the first train left. Express v in terms of t.

Respuesta :

Answer:

v = [tex]\frac{600-60t}{t}[/tex]

Step-by-step explanation:

Let the trains A and B meet each other after t hours after the departure of a train A.

Distance traveled by train A in t hours [tex](d_1)[/tex] = Speed × time

                                                                      = 60 × t

Distance traveled by train B [tex](d_2)[/tex] = v × t

Since, Distance between the cities A and B = 600 km

[tex]d_1+d_2=600[/tex]

60t + vt = 600

vt = 600 - 60t

v = [tex]\frac{600-60t}{t}[/tex]

Therefore, expression that the represents the relation between v and t will be,

v = [tex]\frac{600-60t}{t}[/tex]

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