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Two trains leave from the same station, travelling in opposite direct
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04 Aug 2022, 03:04
04 Aug 2022, 03:04
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Two trains leave from the same station, travelling in opposite directions. One train travels at a speed 15 km/hr slower than the other. After 16 hours they are 1680 km apart. Find the average speed of the slower train.
A 15 km/hr
B 30 km/hr
C 45 km/hr
D 60 km/hr
E The answer cannot be determined from the information given
A 15 km/hr
B 30 km/hr
C 45 km/hr
D 60 km/hr
E The answer cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Two trains leave from the same station, travelling in opposite direct
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08 Aug 2022, 03:30
08 Aug 2022, 03:30
1
We can solve this using 2 methods.
Method 1:
Let speed of the slower train be x
Faster train = x+15
Time taken = 6 hours
Distance =1680
Time* Speed = Distance
6(x+x+15)=1680
6(2x+15)=1680
2x+15=105
x=45
Slower train's speed = 45km/h.
Method 2:
Let's try by plugging in values.
Take C
Speed of slower train is 45km/h
Speed of faster train is now 45+15 = 60km/h
Since trains are moving in opposite directions and the gap is closing, we need to add up the speeds.
Speed is now =105km/h
Now, we know that the two trains have travelled for 16 hours.
Distance is Speed*Time
Therefore, 105*16= 1680km
Option (c) speed of slower train is 45km/h
Method 1:
Let speed of the slower train be x
Faster train = x+15
Time taken = 6 hours
Distance =1680
Time* Speed = Distance
6(x+x+15)=1680
6(2x+15)=1680
2x+15=105
x=45
Slower train's speed = 45km/h.
Method 2:
Let's try by plugging in values.
Take C
Speed of slower train is 45km/h
Speed of faster train is now 45+15 = 60km/h
Since trains are moving in opposite directions and the gap is closing, we need to add up the speeds.
Speed is now =105km/h
Now, we know that the two trains have travelled for 16 hours.
Distance is Speed*Time
Therefore, 105*16= 1680km
Option (c) speed of slower train is 45km/h
Re: Two trains leave from the same station, travelling in opposite direct
[#permalink]
08 Aug 2024, 09:31
08 Aug 2024, 09:31
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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