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06 Jul 2017, 02:34
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
45% (02:20) correct
55%
(01:55)
wrong
based on 152
sessions
History
Date
Time
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Not Attempted Yet
X and Y start traveling in the same direction, from a particular point, at 7:00 am and 7:45 am, respectively. At what time do they meet?
(1) Speed of Y is double that of X.
(2) After 5 hours, Y is 10 miles ahead of X.
(1) Speed of Y is double that of X.
(2) After 5 hours, Y is 10 miles ahead of X.
Updated on: 06 Jul 2017, 06:53
Originally posted by GMATinsight on 06 Jul 2017, 03:22.
Last edited by GMATinsight on 06 Jul 2017, 06:53, edited 1 time in total.
Last edited by GMATinsight on 06 Jul 2017, 06:53, edited 1 time in total.
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Bunuel
\(Speed = \frac{Distance}{Time}\)
Question: Time of meeting = ?
To answer the question we need the speeds of X and Y alongwith the distance that they are travelling together
Statement 1:Y = 2X
For meeting the distances travelled by them must be same
let X travels for T hours to meet Y
then Y travels (T-0.75) hours to meet X [45 mins = 3/4 Hours = 0.75 Hours)
i.e. Distances travelled to meet = X*T = Y*(T-0.75)
i.e. X*T = 2X*(T-0.75)
i.e. T = 2T-1.5
i.e. T = 1.5 hours after X starts @7:00 AM
i.e. Time = 8:30 AM
SUFFICIENT
Statement 2: After 5 hours, Y is 10 miles ahead of X.
i.e. at relative speed the total distance change in 5 hours between X and Y = (Distance travelled by X in 45 mins+10)
but neither do we know the speed of x and Y nor do we know any relationship between their speeds hence
NOT SUFFICIENT
Answer: Option A
06 Jul 2017, 05:54
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Bunuel
Hi,
A very good Q by Bunuel...
I would find it closer to 700 level as it has that perfect C trap
We know x starts 45 minutes before y..
Let's see the statements
1) Speed of Y is double that of X..
Easy to think this as insufficient..
BUT...
If the speed is double,y will cover the distance in half the time..
X is 45 minutes ahead. How much time would Y take to cover these 45 minutes.
In next 45 minutes, Y will cover a distance that X will cover in 45+45 or 90 minutes.
So both are traveling for 45 minutes but Y is covering up the 45 minutes of early start of X
They meet at 7:45+45= 8:30
Sufficient
2)After 5 hours, Y is 10 km ahead of X..
We require relative speed or distance or anyone's speed.
Insufficient
A
