SOLUTION: an express train and local train leave vancouver at 3pm and head for hope 180 kms away. the local train travels two thirds as fast as the express train and arrives 1 hour after the
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Question 536196: an express train and local train leave vancouver at 3pm and head for hope 180 kms away. the local train travels two thirds as fast as the express train and arrives 1 hour after the express train. what time does thelocal train arrive in hope?
i have so far
LOCAL: D = R x T
180=2/3R x T+1
EXPRESS: D = R x T
180= R x T
LOCAL: T=180/ 2/3r -1
EXPRESS; T=180/R
I DONT KNOW WHAT THE LCM IS FOR 2/3R AND R ...IS IT 1 2/3 R ? OR r(2/3r)>?<
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = hours it takes local train to get to Hope
= hours it takes express train to get to Hope
Let = the speed of the fast train in km/hr
= speed of the local train in km/hr
-----------
For local train:
(1)
For express train:
(2)
-----------------
(1)
(1)
and
(2)
Substitute (1) into (2)
(2)
(2)
and
(1)
{1)
(1)
The local train arrives at 3 PM + 3 hrs = 6 PM
check:
(1)
(1)
OK
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