|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
12 May 2018, 22:52
Kudos
Bookmarks
B
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:
49% (02:38) correct
51%
(02:49)
wrong
based on 180
sessions
History
Date
Time
Result
Not Attempted Yet
Two soldiers started racing from point P to point Q, a distance of 10 miles. Soldier 1 ran the first half of the distance at a constant speed of X miles per hour and the second half at a constant speed of Y miles per hour. Soldier 2 ran the entire race at a constant speed of Z miles per hour. X and Y are distinct multiples of 10. If neither of them stopped before reaching point Q, which soldier reached point Q first?
(1) Y is 50% more than X.
(1) Z is the average of X and Y.
(1) Y is 50% more than X.
(1) Z is the average of X and Y.
SSM700plus
Joined: 01 Aug 2017
Last visit: 08 Aug 2022
Posts: 164
Given Kudos: 420
Location: India
Concentration: General Management, Leadership
Schools: ISB '20 (S) IIMA PGPX"20 (S)
GMAT 1: 500 Q47 V15
GPA: 3.4
WE:Information Technology (Computer Software)
Products:
12 May 2018, 23:40
Kudos
Bookmarks
amanvermagmat
Statement 1:- No information about Z. Not sufficient.
Statement 2: - Suppose X = 10 and Y= 20. Avg of X & Y = Z = 15.
Soldier 1 covers first 5 miles at a speed of 10mph. It takes 30 minutes to complete.
Soldier 1 covers last 5 miles at a speed of 20mph. It takes 15 minutes to complete.
Total Time for soldier 1 = 45 minutes.
Soldier 2 covers first 10 miles at a speed of 15 mph. It takes 40 minutes to complete.
Total Time for soldier 2 = 40 minutes.
We can also try with other values of X & Y. The result will be same.
It answers our question - which soldier reached point Q first? . It is soldier 2.
Hence Sufficient.
Answer B.
27 May 2018, 21:23
Kudos
Bookmarks
I) Y=3X/2
But no info about z so Insufficient
II) Z=(x+y)/2
Time by S1= 10/[5/x+5/y]
= 2xy/x+y
Time by S2= 10/z= 20/x+y
As we know that x and y are multiple of 10
So time of S1 I would be=
2*10k*10k1/x+y
where k and k1 are positive integers
So time for S1 = 200k*k1/x+y
So time of S1> time of S2
So soldier 2 will reach early
B is ANSWER
Give kudos if it helps
Posted from my mobile device
But no info about z so Insufficient
II) Z=(x+y)/2
Time by S1= 10/[5/x+5/y]
= 2xy/x+y
Time by S2= 10/z= 20/x+y
As we know that x and y are multiple of 10
So time of S1 I would be=
2*10k*10k1/x+y
where k and k1 are positive integers
So time for S1 = 200k*k1/x+y
So time of S1> time of S2
So soldier 2 will reach early
B is ANSWER
Give kudos if it helps
Posted from my mobile device
