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tatyana61 [14]
3 years ago
15

Two trains leave from the same station at the same time and travel in opposite directions. One train

Mathematics
1 answer:
sesenic [268]3 years ago
3 0

Answer:

speed=distance/time

let x=distance

let v=speed

let t=time

For train(1)

x(1)=v(1)t

or,

x(1)=18*t

For train(2)

x(2)=v(2)t

or

x(2)=12*t

When the distance between the two is 246 miles, it means

x(1)+x(2)=246 miles

So

246 = 12*t+18*t

246=30*t

or,

t=8.2 hours.

Step-by-step explanation:

So: RT=D. Solve this for T, since that's our unknown. You get T=D/R. Substitute R=30 and D=246.

T = 246/30; T=8.2 hours   If they want it in hours and minutes, it's 8 hours and 12 minutes.

Train I 70 mph

Train II 80 mph

They are moving in opposite directions

so effective speed = 150 mph

Distance = 210 miles

Time = distance/speed

Time = 210 / 150

Time = 1.4 hours

Time they will be 210 miles apart 1 hour 24 minutes

i hope this helps

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