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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

03 Sep 2011, 08:22

1

This post received KUDOS

16

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

65% (04:28) correct
35% (04:07) wrong based on 133 sessions

HideShow timer Statistics

Anand starts from a point P towards point Q, where PQ = 90 km. After 1 hour, Ram starts from P and catches up with Anand after 2 more hours. After meeting they continue to travel towards Q. On reaching Q, Ram reverses his direction and meets Anand 6 hours after the first meeting. Find Anand's speed.

Anand starts from a point P towards point Q, where PQ = 90 km. After 1 hour, Ram starts from P and catches up with Anand after 2 more hours. After meeting they continue to travel towards Q. On reaching Q, Ram reverses his direction and meets Anand 6 hours after the first meeting. Find Anand's speed.

Anand starts from a point P towards point Q, where PQ = 90 km. After 1 hour, Ram starts from P and catches up with Anand after 2 more hours. After meeting they continue to travel towards Q. On reaching Q, Ram reverses his direction and meets Anand 6 hours after the first meeting. Find Anand's speed.

Speed of Anand =a '" Ram=r Till Anand and Ram meets, Anand travels for 3 hrs, and Ram trvels for 2 HRs When Two people meet, the distance travelled by them is equal =>> 3a = 2r which gives r = 3a/2------------(i) Now for next 6 hrs, Anand travels 6a Kms and Ram trvls 6r Kms.

Refer the pic: ....(3a)......||...........(6a)..................|||............... P|_________||______________________|||_________Q ....(2r)......||..............................(6r)....................

The (6r) covers the distance from (|| to Q)plus( Q to ||| ) PQ = 90 2PQ = 180 3a + 6a + 6r + 2r = 180 9a + 8r = 180 9a + 8*3a/2 = 180 -----using (i) 9a + 12a = 180 a = 180/21 = 60/7

From this _________________

[caption=]Remember: Anything that can go wrong, will go wrong.[/caption]

Let a be Anand's speed and r be Ram's speed.When Ram and Anand meet for the first time, distance travelled by them is the same => a(3) = r(2) When Ram and Anand meet for the second time, they have travelled twice the distance PQ, or 180 km, together => a(9) + r(8) = 180

Solving these equations for a, we get a = 180/21 = 60/7 km/hr =>Option (B) _________________

Couldn get it the first time Took more than 5 min to solve. After looking at the solution it looked easy but I was stumped Have a small doubt.. On GMAT wats the probability of facing these kind of questions ?? And at what level?? Please clarify

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

03 Oct 2013, 10:40

why the distance covered is 2(90-x) ? ram meets anand after 6hrs on first meet. so not necessary that anand would have travelled same distance as ram did.?

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

03 Oct 2013, 14:26

1

This post received KUDOS

I solved it like this:

Let R = Ram's speed A = Anand's speed

Since it took Ram 2 hours to cover the same distance as Anand did in 3 hours we know

2R = 3A R = (3/2)A

We know they don't meet again for another 6 hours, at which point Anand will have been traveling for 9 hours to a distance I'll call "D". Ram will have been traveling for only 8 hours when he reaches D and the total distance he will have traveled is 90 + (90 - D) = 180 - D

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

06 Oct 2013, 06:19

sunny3011 wrote:

why the distance covered is 2(90-x) ? ram meets anand after 6hrs on first meet. so not necessary that anand would have travelled same distance as ram did.?

bunuel help ?

Same question: Why is it 2(90-x)? I understand why we need the first (90-x), but why is it assumed that they meet at the same point X when they're headed back?

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

17 Oct 2013, 04:39

2

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

pauc wrote:

sunny3011 wrote:

Anand starts from a point P towards point Q, where PQ = 90 km. After 1 hour, Ram starts from P and catches up with Anand after 2 more hours. After meeting they continue to travel towards Q. On reaching Q, Ram reverses his direction and meets Anand 6 hours after the first meeting. Find Anand's speed.

why the distance covered is 2(90-x) ? ram meets anand after 6hrs on first meet. so not necessary that anand would have travelled same distance as ram did.?

bunuel help ?

Same question: Why is it 2(90-x)? I understand why we need the first (90-x), but why is it assumed that they meet at the same point X when they're headed back?

Look at the diagram below:

Attachment:

Untitled4.png [ 2.58 KiB | Viewed 1821 times ]

Blue dot is the second meeting point.

In blue is the distance covered by Anand after the first meeting. In green is the distance covered by Ram after the first meeting.

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

17 Oct 2013, 09:00

5

This post received KUDOS

1

This post was BOOKMARKED

Here is a quick approach- since we know the time taken by anand : time taken by ram (same distance when they meet after 3 hrs) = 3 : 2. therefore, ratio of their speed= 2 : 3. Let speed be 2x, 3x. Now in three hours distance covered = 6x. remaining 90-6x covered twice in 6 hours. => 12x + 18x = 2(90-6x) giving 2x (remember this is the speed of anand and not just x) = 60/7

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

17 Oct 2013, 09:56

I don't get this problem at all; you don't know how long it takes Ram to reach the end point and then turn back, so you can't calculate anything for certain...there's too many variables here.

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

17 Oct 2013, 09:58

Expert's post

AccipiterQ wrote:

I don't get this problem at all; you don't know how long it takes Ram to reach the end point and then turn back, so you can't calculate anything for certain...there's too many variables here.

Check solutions above. You can use only one variable to solve. _________________

Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

24 Jun 2014, 22:05

Since Anand takes 3 hrs to travel the distance that Ram travels in 2 hrs their speed is in the ratio 2:3. We also know s1=(90-x)/9 and s2=(90+x)/8 where s1 and s2 are the speed of Anand and Ram resp. (90-x) /9 / (90+x)/8 = 2/3 From the above equations we get s1=60/7 _________________

Re: Anand starts from a point P towards point Q, where PQ = 90 [#permalink]

Show Tags

28 Jun 2015, 00:39

Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

They say you get better at doing something by doing it. then doing it again ... and again ... and again, and you keep doing it until one day you look...

I barely remember taking decent rest in the last 60 hours. It’s been relentless with submissions, birthday celebration, exams, vacating the flat, meeting people before leaving and of...