Respuesta :
Here speed of first train is slower than speed of second train. So if they catch up , the distance traveled will be same since they left the same station at different times.
But the time traveled will be different .
Let us say the two trains meet at time t ,
Distance = speed * time
Distance traveled by first train = 40 t
Since second train is leaving after three hours , so
Distance traveled by second train = 60(t-3)
As discussed earlier, distance traveled will be same, so
[tex] 40t =60(t-3) [/tex]
distributing 60 over t-3
[tex] 40t =60t-180 [/tex]
[tex] 60t -40t=180 [/tex]
[tex] 20t =180 [/tex]
[tex] t =180/20 [/tex]
t=9
So the second train will meet the first at 9 p.m.
Answer:
9:00 P.M.
Step-by-step explanation:
#1. Let x= the time in which the second train will catch up with the first
#2. Since x is the time in which the second train will catch up with the first and 3 P.M. is the time in which the second train left, we subtract that from x multiplied by the rate the second train travels, and in this case, is 60 mph= the rate in which the first train is traveling.
: 60(x-3)= 40x
: 60x-180= 40x
Subtract 60x on both sides to equal
: -180= -20x
Divide -20 on both sides to equal
: 9=x, which is 9 P.M.
Glad it helped! :)