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asiriel
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asiriel
Two racecar drivers, A and B , are driving around a circular track. If A is 200m behind B and both drivers drive at their respective constant rates, how long, in sec, will it take for A to catch up to B?

(1) The circumference of the trace is 1400m.
(2) B is driving 25 m per min faster than A.


The correct answer is B. Just want to double check.
I suspect that it is a typo, and statement 2 should be: A is 25 m/min faster than B. Otherwise, we do need the circumference of the track (to know how many meters is B behind A) as it will be equivalent to B catching up A then, correct me if I am wrong.
Thanks for your clarification in advance.

I agree that it is a typo. 2 options to correct this question -
1. A is driving 25 m per min faster than B.
2. question should say - how long, in sec, will it take for A and B to meet together?
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asiriel
Two racecar drivers, A and B , are driving around a circular track. If A is 200m behind B and both drivers drive at their respective constant rates, how long, in sec, will it take for A to catch up to B?

(1) The circumference of the trace is 1400m.
(2) B is driving 25 m per min faster than A.


The correct answer is B. Just want to double check.
I suspect that it is a typo, and statement 2 should be: A is 25 m/min faster than B. Otherwise, we do need the circumference of the track (to know how many meters is B behind A) as it will be equivalent to B catching up A then, correct me if I am wrong.
Thanks for your clarification in advance.

dude question is correct and QA is wriong the anser is C : if the circumference is known and the speed of is 25 more then as they are travelling on a circle b will come again to overtake him .........

use relative velocity concept keep a as constant and now only b will move with 25m/s fast to cover ther res to the rest of 1200 mts
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The answer has to be C.

A. We can do nothing without knowing the respective speeds of A and B. Not sufficient
B. We can do nothing with the speeds when the exact time has to be computed. Not sufficient.
Consider A speed - x m/min
B speed - x+25 m/min

Then after time t
(x + 25)t = xt + 200 which gives t = 8....Now track length = 1400....B leads by 200 m in 8 sec ..It will catch A in (1400/200) *8 = 56 seconds.

Hence together they are suffieiecnt. Hence C

hope this helps
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krrish
asiriel
Two racecar drivers, A and B , are driving around a circular track. If A is 200m behind B and both drivers drive at their respective constant rates, how long, in sec, will it take for A to catch up to B?

(1) The circumference of the trace is 1400m.
(2) B is driving 25 m per min faster than A.


The correct answer is B. Just want to double check.
I suspect that it is a typo, and statement 2 should be: A is 25 m/min faster than B. Otherwise, we do need the circumference of the track (to know how many meters is B behind A) as it will be equivalent to B catching up A then, correct me if I am wrong.
Thanks for your clarification in advance.

dude question is correct and QA is wriong the anser is C : if the circumference is known and the speed of is 25 more then as they are travelling on a circle b will come again to overtake him .........

use relative velocity concept keep a as constant and now only b will move with 25m/s fast to cover ther res to the rest of 1200 mts

aankittcoolest
The answer has to be C.

A. We can do nothing without knowing the respective speeds of A and B. Not sufficient
B. We can do nothing with the speeds when the exact time has to be computed. Not sufficient.
Consider A speed - x m/min
B speed - x+25 m/min

Then after time t
(x + 25)t = xt + 200 which gives t = 8....Now track length = 1400....B leads by 200 m in 8 sec ..It will catch A in (1400/200) *8 = 56 seconds.

Hence together they are suffieiecnt. Hence C

hope this helps

Edited the question. The proper version is:
Quote:
Two racecar drivers, Abernathy and Berdoff, are driving around a circular track. If Abernathy is 200 meters behind Berdoff and both drivers drive at their respective constant rates, how long, in seconds, will it take for Abernathy to catch up to Berdoff?

(1) The circumference of the racetrack is 1,400 meters.
(2) Abernathy is driving 25 meters per minute faster than Berdoff.

Answer is
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This one is from MGMAT Word Problem Strategy guide page no.115 Q#2. As Bunuel rightly corrected, there was an error in it which MGMAT declared here- https://www.manhattangmat.com/errata-wp-5ed.cfm. Is that why I dont enjoy working with non- OG material much!?!? :(
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