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

 It is currently 27 Mar 2015, 18:12

### 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:
VP
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 340 [0], given: 1

A bullet train leaves Kyoto for Tokyo traveling 240 miles [#permalink]  27 Sep 2008, 00:04
1
This post was
BOOKMARKED
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
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

Manager
Joined: 27 Apr 2008
Posts: 111
Followers: 1

Kudos [?]: 8 [1] , given: 0

Re: MGMAT - RATE PROBLEM [#permalink]  27 Sep 2008, 00:30
1
KUDOS
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

Director
Joined: 23 May 2008
Posts: 840
Followers: 3

Kudos [?]: 37 [0], given: 0

Re: MGMAT - RATE PROBLEM [#permalink]  27 Sep 2008, 17:20
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

thats an interesting , shorter approach, I got the same answer but im sure it took me longer

R=T*D

240t=d
160(t-1/6)=300-d

160t-160=300-240t

t=49/60
Senior Manager
Joined: 29 Mar 2008
Posts: 350
Followers: 4

Kudos [?]: 52 [0], given: 0

Re: MGMAT - RATE PROBLEM [#permalink]  27 Sep 2008, 21:53
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

Nice method. I used the longer method (solving two simultaneous equations) to get (B)
+1 for you.
_________________

To find what you seek in the road of life, the best proverb of all is that which says:
"Leave no stone unturned."
-Edward Bulwer Lytton

VP
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 340 [0], given: 1

Re: MGMAT - RATE PROBLEM [#permalink]  27 Sep 2008, 22:12
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

That is a pretty neat method rino.

is 160+240 the relative speed between two trains ?
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

SVP
Joined: 17 Jun 2008
Posts: 1573
Followers: 12

Kudos [?]: 201 [0], given: 0

Re: MGMAT - RATE PROBLEM [#permalink]  28 Sep 2008, 02:30
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

R u sure that the calculation is right here? My answer is E.
VP
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 340 [0], given: 1

Re: MGMAT - RATE PROBLEM [#permalink]  28 Sep 2008, 02:40
scthakur wrote:
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

R u sure that the calculation is right here? My answer is E.

scthakur, the official answer is B
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

SVP
Joined: 17 Jun 2008
Posts: 1573
Followers: 12

Kudos [?]: 201 [0], given: 0

Re: MGMAT - RATE PROBLEM [#permalink]  28 Sep 2008, 04:26
amitdgr wrote:
scthakur wrote:
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

R u sure that the calculation is right here? My answer is E.

scthakur, the official answer is B

I am still not sure how the calculation is giving 39 minutes? Can someone detail the steps? I think, I am missing even the basic arithmatic here.
VP
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 340 [0], given: 1

Re: MGMAT - RATE PROBLEM [#permalink]  28 Sep 2008, 05:18
amitdgr 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 will the trains pass each other?

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

!)Train K starts from Kyoto at 12:00 noon. It moves at the speed of 240 mph. Say it covers 300-x miles

2)Train T starts from Tokyo at 12:10 PM at a speed of 160 mph. Say it covers the rest of x miles

From (1) we have 300-x = 240(t+1/6) [ we have "+1/6" here since Train K travels 10 minutes or 1/6 hours longer than train T]

and From (2) we have x=160t

combining above two equations:
300-160t=240t + 40
260 = 400t

t= 26/40 = 13/20 hours = (13/20)*60 = 39 mins.

12:10 + :39 = 12:49
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

Manager
Joined: 27 Apr 2008
Posts: 111
Followers: 1

Kudos [?]: 8 [1] , given: 0

Re: MGMAT - RATE PROBLEM [#permalink]  28 Sep 2008, 09:48
1
KUDOS
amitdgr wrote:
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

That is a pretty neat method rino.

is 160+240 the relative speed between two trains ?

Quote:
yes- it's the relative speed
VP
Joined: 05 Jul 2008
Posts: 1433
Followers: 35

Kudos [?]: 251 [0], given: 1

Re: MGMAT - RATE PROBLEM [#permalink]  28 Sep 2008, 11:04
rino wrote:
amitdgr wrote:
rino wrote:
B

in 10 minutes tha train travels 40 miles- the rest is 260.

x=v*t

=> 260= (160+240)*t

=> t=39 minutes

39+10=49

That is a pretty neat method rino.

is 160+240 the relative speed between two trains ?

Quote:
yes- it's the relative speed

Good method.

I did the long method too

(t+1/6) 240 + 160 t = 300
SVP
Joined: 17 Jun 2008
Posts: 1573
Followers: 12

Kudos [?]: 201 [0], given: 0

Re: MGMAT - RATE PROBLEM [#permalink]  29 Sep 2008, 22:05
amitdgr wrote:
amitdgr 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 will the trains pass each other?

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

!)Train K starts from Kyoto at 12:00 noon. It moves at the speed of 240 mph. Say it covers 300-x miles

2)Train T starts from Tokyo at 12:10 PM at a speed of 160 mph. Say it covers the rest of x miles

From (1) we have 300-x = 240(t+1/6) [ we have "+1/6" here since Train K travels 10 minutes or 1/6 hours longer than train T]

and From (2) we have x=160t

combining above two equations:
300-160t=240t + 40
260 = 400t

t= 26/40 = 13/20 hours = (13/20)*60 = 39 mins.

12:10 + :39 = 12:49

Thanks amitdgr....my silly mistake was that I was adding 240 and 160 to 300.
VP
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 340 [0], given: 1

Re: MGMAT - RATE PROBLEM [#permalink]  30 Sep 2008, 03:19
scthakur wrote:
Thanks amitdgr....my silly mistake was that I was adding 240 and 160 to 300.

I do that kinda mistake all the time
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

Re: MGMAT - RATE PROBLEM   [#permalink] 30 Sep 2008, 03:19
Similar topics Replies Last post
Similar
Topics:
3 A bullet train travels in excess of 150 miles per hour. 4 18 Nov 2012, 12:51
4 Train A leaves the station traveling at 30 miles per hour. 9 09 Feb 2011, 14:16
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
A bullet train leaves Kyoto for Tokyo traveling 240 miles 5 05 Jun 2006, 10:54
Display posts from previous: Sort by