Question

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.

Answer 1

v =
`(600-60t)/(t)`

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
`(d_1)` = Speed × time

= 60 × t

Distance traveled by train B
`(d_2)` = v × t

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

`d_1+d_2=600`

60t + vt = 600

vt = 600 - 60t

v =
`(600-60t)/(t)`

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

v =
`(600-60t)/(t)`