SOLUTION: A slow train travel from city A to city C with a speed of 50km/h. but it stops in city B for 10 minutes. An express train travel from City A to city c with a speed of 80 km/h. Dist
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Question 1064449: A slow train travel from city A to city C with a speed of 50km/h. but it stops in city B for 10 minutes. An express train travel from City A to city c with a speed of 80 km/h. Distance between city A to city c is 150km. If both trains reach city C in same time. At what time express train starts its journey after starting the slow train? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Call the slow train T[1]
Call the fast train T[2]
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Let = the headstart that train T[1] has until
train T[2] leaves city A
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Start a stopwatch when train T[2] leaves city A
Let = time on stopwatch in hrs when train T[2] reaches
city C
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Train T[1] travels during time
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Equation for train T[1]:
(1)
Equation for train T[2]:
(2)
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Note that
----------------------------------
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
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By substitution into (1):
(1)
(1)
(1)
(1)
and hrs
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The express train leaves city A 1 hr 17 min 30 sec after
the slow train
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check the answer:
(1)
(1)
(1)
(1)
(1)
This looks close enough
*Definitely* try to get a 2nd opinion on this
There are a number of ways I could have messed up.
