Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 16 Sep 2014, 00:03

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A bullet train leaves Kyoto for Tokyo traveling 240 miles

Author Message
TAGS:
Senior Manager
Joined: 17 Aug 2005
Posts: 394
Location: Boston, MA
Followers: 1

Kudos [?]: 8 [0], given: 0

A bullet train leaves Kyoto for Tokyo traveling 240 miles [#permalink]  05 Jun 2006, 10:54
00:00

Difficulty:

(N/A)

Question Stats:

100% (04:58) correct 0% (00:00) wrong based on 0 sessions
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time wil the trains pass each other?

A. 12:40pm
B. 12:49pm
C. 12:55pm
D. 1:00pm
E. 1:05pm

I would love to know the approach you guys take to solving this. I approached it a little differently from the book. The source is MGMAT word problem translations book.
 Manhattan GMAT Discount Codes Kaplan GMAT Prep Discount Codes Veritas Prep GMAT Discount Codes
Manager
Joined: 10 May 2006
Posts: 186
Location: USA
Followers: 1

Kudos [?]: 3 [0], given: 0

Re: PS-Trains [#permalink]  05 Jun 2006, 11:13
buckkitty wrote:
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time wil the trains pass each other?

A. 12:40pm
B. 12:49pm
C. 12:55pm
D. 1:00pm
E. 1:05pm

I would love to know the approach you guys take to solving this. I approached it a little differently from the book. The source is MGMAT word problem translations book.

B -

The bullet train will have travelled 240 x (10/60) miles after the first 10 minutes = 40 miles.

At 12:10 , the bullet train and the train are 260 miles apart (=300-40). To calculate when they will pass:

260 = 240*(60)*x + 160*(60)*x where x = the time it takes for them to reach one another in minutes

x = 39 minutes for the trains to pass each other AFTER 12:10.

Therefore the trains must have passed each other at 12:49
Director
Joined: 16 Aug 2005
Posts: 950
Location: France
Followers: 1

Kudos [?]: 8 [0], given: 0

Let distance travelled by A be x miles
Speed A = 240/60 = 4 miles per minue
Speed B = 160/60 = 8/3 miles/min
time = distance/speed
Distance travelled by A in 10 minutes = 40 miles.

Distance remaining = 260 miles.

3x/8 = (260-x)/4
12x = 260.8 - 8x
x = 26.4 = 104

time = 39mins

Hence B
_________________

I believe its yogurt!

Senior Manager
Joined: 17 Aug 2005
Posts: 394
Location: Boston, MA
Followers: 1

Kudos [?]: 8 [0], given: 0

Train A: going from K to T
Train B: going from T to K

First I calculated how far Train A will have travelled by the time Train B starts at 12:10:
10 minutes at 240 mph
1/6*240=40miles

They have 300-40=260 miles to travel to meet each other.

I found the combined rate of the two trains
Rate(A) + Rate(B) = 400mph

Divide Distance/Rate to find total time each will travel:
260/400=39/60 >>> 39 Minutes to meet

12:10+39 minutes = 12:49 or Answer B
Director
Joined: 16 Aug 2005
Posts: 950
Location: France
Followers: 1

Kudos [?]: 8 [0], given: 0

buckkitty wrote:
Train A: going from K to T
Train B: going from T to K

First I calculated how far Train A will have travelled by the time Train B starts at 12:10:
10 minutes at 240 mph
1/6*240=40miles

They have 300-40=260 miles to travel to meet each other.

I found the combined rate of the two trains
Rate(A) + Rate(B) = 400mph

Divide Distance/Rate to find total time each will travel:
260/400=39/60 >>> 39 Minutes to meet

12:10+39 minutes = 12:49 or Answer B

Yup the combined rate approach is also a good one.
_________________

I believe its yogurt!

Senior Manager
Joined: 17 Aug 2005
Posts: 394
Location: Boston, MA
Followers: 1

Kudos [?]: 8 [0], given: 0

Anyway, good job OA is B
Similar topics Replies Last post
Similar
Topics:
1 A bullet train travels in excess of 150 miles per hour. 4 18 Nov 2012, 12:51
1 Train A leaves the station traveling at 30 miles per hour. 2 09 Feb 2011, 14:16
2 A bullet train leaves Kyoto for Tokyo traveling 240 miles 12 27 Sep 2008, 00:04
Train T leaves from town A for town B and travels at a 11 15 Oct 2006, 11:59
Train T leaves from town A for town B and travels at a 3 12 Sep 2006, 05:09
Display posts from previous: Sort by