Question

the distance between two sations is 340 km. two trains start art Simultaneously from thise startings on parallel drugs to who cross each other. the speed of of one of theme is i greater than and that of the the other bye 5 km/hr. Kise da distance between the two trance after 2 two horse of their start it is x**e kilometre find speed of each train. check your solution​

Answer 1

Answer:distance(d)=rate(r) times time(t) or d=rt;t=d/r and r=d/t

Let r=rate (speed) of the first train

Then r+5=rate of the other

Distance first train travels in 2 hours =r*2 or 2r

Distance other train travels in 2 hours=(r+5)*2 or 2(r+5)

Now we know that the distance the first train travels (2r) plus the distance the other train travels (2(r+5)) equals 340-30 or 310 mi. So our equation to solve is:

2r+2(r+5)=310 mi get rid of parens

2r+2r+10=310 subtract 10 from both sides

2r+2r+10-10=310-10 collect like terms

4r=300 divide both sides by 4

r=75 mph---------------------------speed of first train

r+5=75+5= 80 mph---------------------speed of other train

CK

75*2+80*2=310

150+160=310

310=310