George passes a point P at exactly 12:00 walking at a rate

Question

George passes a point P at exactly 12:00 walking at a rate 'R'. Tony starts from the same point and travels at a rate 3R/2, and passes the point P at 13:00. What is the distance (in terms of R) George would have travalled from the start point to point P, when they both meet.

Please, please explain the method to solve.

Thanks

jpv · Answer

I guess.... some information is missing. :roll:

carsen · Answer

I do not see any information mising in here.

Rates of both are given. (R)
Time is given (12:00 and 13:00) (T)
Distance is the same. (D).

R=D/T

IS there any info required or is it possible to get the equation?

jpv · Answer

Point 1: It can not be possible that if G & T started at same point and same time ( this i have assumed), then G will reach before. Because rate of T > rate of G.

If we dont assume above, then that data is missing..

pakoo · Answer

I guess the distance travlled by George is 3R

Let t be thetime G travels, DG = RT
T started 1 hr later so time for him (t-1) and his rate is 3R/2

Dg =Dt =Rt = 3R/2 * (t-1)

which gives you the value of t=3

Hence Dg =3*R

Is this correct? Please let me know

pakoo · Answer

I guess the distance travlled by George is 3R

Let t be thetime G travels, DG = RT
T started 1 hr later so time for him (t-1) and his rate is 3R/2

Dg =Dt =Rt = 3R/2 * (t-1)

which gives you the value of t=3

Hence Dg =3*R

Is this correct? Please let me know

pakoo · Answer

I guess the distance travlled by George is 3R

Let t be thetime G travels, DG = RT
T started 1 hr later so time for him (t-1) and his rate is 3R/2

Dg =Dt =Rt = 3R/2 * (t-1)

which gives you the value of t=3

Hence Dg =3*R

Is this correct? Please let me know

srijay007 · Answer

1.0 mins

Ans is 3R

Let t be the time after which T catches up with G
Distance T travels from P = 3Rt/2 (1)
Distance G travels from P = Rt+R (2)  (G already travels R between 12:00-13:00) 
(1)=(2) or t=2
Hence Distance from P when they meet= 3R

carsen · Answer

ABSOLUTELY CORRECT !!!!..

3R is the answer !!

KUDOSSSSS

jpv · Answer

I overlooked the Problem... I will have to be more CAREFUL.. :wall

Agree srijay...

antarctica · Answer

George passes a point P at exactly 12:00 walking at a rate 'R'. Tony starts from the same point and travels at a rate 3R/2, and passes the point P at 13:00.  
What is the distance (in terms of R) George would have travalled from the start point to point P, when they both meet

The question is still unclear to me. Does it mean that they were travelling from a start point (say point 0) to point P with George passing P at 12.00 and Tony passing P at 13.00. So G would have started earlier than T since he ran slowlier but got to the point earlier. 

Distance OP = D
Time for G to travel from O to P: D/R
Therefore G must have started at 12- D/R
Similarly, T must have started at 13- D/3R/2
So it cant be that T started 1hr later than G as you all said ???

bigtooth81 · Answer

I agree. If the question asks the distance from the start point, somedata (like start hour) is missing here.

3R as srijay007's ans is the distance from P to where they meet

carsen · Answer

Pardon me, for the wordings would be incorrect. I presume, that the question should have been, if George starts at 12.00 and travels at a certain rate, and Tony starts at 13.00 from the place place. What would be the distance in tems of R, when they both meet a point P. 

This question was given to me by a frnd of mine, who happen to take a recent gmat (though the pattern is similar, it is not a replica). 

Sorry for the confusion.

ashkg · Answer

Distance travelled by first person in 1 hr = 1hr*R

Relative speed = ( 3/2 - 1 ) R = R/2

time taken = 1hr*R / (R/2) = 2 hrs

Distance travelled to cover up the lead taken by first guy = R ( time) = 2R

total distance from P = first distance + second distance = R+2R = 3R

lastochka · Answer

I spent about 10 minutes trying to figure this problem out and failed. Then I saw a re-statement of part of question and got the following. 
r(t+1) =3r/2*t
solve the equation and you get t=2

for George, it would be r(t+1), hence its 3r


Let's try to get the right wording for the questions, it'll save all of us some time in the end.

George passes a point P at exactly 12:00 walking at a rate

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards