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# Train A departs Roseville heading for Springtown at 10 p.m. and train

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Math Expert
Joined: 02 Sep 2009
Posts: 58449
Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

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21 Mar 2017, 05:32
00:00

Difficulty:

15% (low)

Question Stats:

84% (02:21) correct 16% (02:31) wrong based on 58 sessions

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Train A departs Roseville heading for Springtown at 10 p.m. and train B departs Springtown at the same time headed to Roseville on a parallel track. If train A travels at 80 miles per hour and train B travels at 85 miles per hour and the distance from Springtown to Roseville is 660 miles, then how long will it take for the two trains to be at the same point relative to Springtown?

A. 3.5
B. 3.8
C. 4
D. 8
E. 8.25

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Re: Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

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21 Mar 2017, 11:08
The time taken by the two trains to meet at a point =

Total Distance/ Sum of the speed of the two trains (as the trains are travelling in opposite direction) = 660/(80+85) =660/165 = 4

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Re: Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

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22 Mar 2017, 03:35
total speed of two trains 80 + 85= 165
165=$$\frac{660}{time}$$
time= 4 hours

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Re: Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

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23 Mar 2017, 16:56
1
Bunuel wrote:
Train A departs Roseville heading for Springtown at 10 p.m. and train B departs Springtown at the same time headed to Roseville on a parallel track. If train A travels at 80 miles per hour and train B travels at 85 miles per hour and the distance from Springtown to Roseville is 660 miles, then how long will it take for the two trains to be at the same point relative to Springtown?

A. 3.5
B. 3.8
C. 4
D. 8
E. 8.25

We have a converging rate problem in which we can use the formula:

distance of train A + distance of train B = total distance

Train A is traveling at a rate of 80 mph and train B is traveling at a rate of 85 mph. Since the trains both left at the same time, we can let the time of each train = t. Thus:

80t + 85t = 660

165t = 660

t = 4

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Re: Train A departs Roseville heading for Springtown at 10 p.m. and train   [#permalink] 23 Mar 2017, 16:56
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