SOLUTION: a plane averaging 120mi/h and an express train averaging 60 mi/h depart at the same time from the same city headed for the same destination. if the train arrives 45 min later than

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a plane averaging 120mi/h and an express train averaging 60 mi/h depart at the same time from the same city headed for the same destination. if the train arrives 45 min later than       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1047729: a plane averaging 120mi/h and an express train averaging 60 mi/h depart at the same time from the same city headed for the same destination. if the train arrives 45 min later than the plane, how far did they both travel?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
They both went the same distance, d. 
                  SPEED     TIME     DISTANCE

PLANE             120         t        d

TRAIN             60         t+3/4     d


System of Equations: system%28120t=d%2C60%28t%2B3%2F4%29=d%29

t=d%2F120
-
60t%2B60%283%2F4%29=d
d=60t%2B45
d=60d%2F120%2B45
d=d%2F2%2B45
2d=d%2B90
highlight%28d=90%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

a plane averaging 120mi/h and an express train averaging 60 mi/h depart at the same time from the same city headed for the same destination. if the train arrives 45 min later than the plane, how far did they both travel?
Let distance be D

Then we get: D%2F60+=+D%2F120+%2B+45%2F60

D%2F60+=+D%2F120+%2B+3%2F4

2D = D + 90 -------- Multiplying by LCD, 120

2D – D = 90

D, or distance = highlight_green%28matrix%281%2C2%2C+90%2C+miles%29%29

See! Nothing to it....nothing COMPLEX!