NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 12:49 It is currently 26 Apr 2024, 12:49
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Ram and Shyam run a race between points A and B, 5 km apart. Ram start

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619227 [14]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   08 Jan 2020, 03:22
2
Kudos
12
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

80% (02:42) correct 20% (02:41) wrong based on 138 sessions
Hide Show timer Statistics
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.

At what time does Shyam overtake Ram?

(A) 10:20 a.m.
(B) 10:30 a.m.
(C) 10:40 a.m.
(D) 10:50 a.m.
(E) 10:55 a.m.

Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6296 [6]
Given Kudos: 704
Location: India
Send PM
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   08 Jan 2020, 08:28
5
Kudos
1
Bookmarks
Relative Distance between Ram and shyam at 9:45AM= 5*(45/60)

Relative speed of Shyam with respect to Ram = 10-5= 5Kmph

Time taken by Shyam to overtake Ram= 5*(45/60)/5= 45/60 hr or 45 minutes

time at which Shyam overtakes Ram= 0945+0045= 1030 hrs or 10:30 AM

Bunuel wrote:
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.

At what time does Shyam overtake Ram?

(A) 10:20 a.m.
(B) 10:30 a.m.
(C) 10:40 a.m.
(D) 10:50 a.m.
(E) 10:55 a.m.

Are You Up For the Challenge: 700 Level Questions
General Discussion
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619227 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   08 Jan 2020, 03:22
1
Kudos
1
Bookmarks
Expert Reply
Bunuel wrote:
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.

At what time does Shyam overtake Ram?

(A) 10:20 a.m.
(B) 10:30 a.m.
(C) 10:40 a.m.
(D) 10:50 a.m.
(E) 10:55 a.m.

Are You Up For the Challenge: 700 Level Questions


TWIN QUESTION: https://gmatclub.com/forum/ram-and-shya ... 13973.html
User avatar
D
fauji
IIM School Moderator
Joined: 05 Jan 2015
Status:So far only Dreams i have!!
Posts: 386
Own Kudos [?]: 352 [2]
Given Kudos: 214
WE:Consulting (Computer Software)
Send PM
Reviews Badge
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   08 Jan 2020, 10:47
2
Kudos
Solve this as when Shyam reaches point B(Attached Screenshot for reference)

At 10:15 AM:
- Shyam is at point B,
- Ram is 5/4 km from point B moving towards A.

- Now, Distance between Ram and Shyam is 5/4 Km.
- Relative speed: 10 - 5 = 5 km/h

- Time = (5/4)/5 = .25 Hr or 15 Min.

So exactly 15 min after 10:15 Am will Shyam overtake Ram. At 10:30 AM

IMO Option B
Attachments

Sketch.png
Sketch.png [ 38.09 KiB | Viewed 5121 times ]

User avatar
L
rajatchopra1994
VP
VP
Joined: 16 Feb 2015
Posts: 1080
Own Kudos [?]: 1025 [0]
Given Kudos: 30
Location: United States
Send PM
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   08 Jan 2020, 22:43
Bunuel wrote:
Bunuel wrote:
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.

At what time does Shyam overtake Ram?

(A) 10:20 a.m.
(B) 10:30 a.m.
(C) 10:40 a.m.
(D) 10:50 a.m.
(E) 10:55 a.m.

Are You Up For the Challenge: 700 Level Questions


TWIN QUESTION: https://gmatclub.com/forum/ram-and-shya ... 13973.html


Explanation:
At sharp 10:30 am,

Both has covered 7.5kms from A.
So IMO-B
User avatar
S
BhishmaNaidu99
Manager
Manager
Joined: 22 Sep 2018
Posts: 73
Own Kudos [?]: 75 [0]
Given Kudos: 95
Schools: EDHEC MiM "22 (A)
Send PM
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   09 Jan 2020, 05:15
From the given information

Time take for ram to reach point B is 1 hr , and for B = 30 min .

so Ram will reach A at 10 am and starts going Back,
and Shyam will reach B at 10:15am and starts going back and over takes ram in this direction

so while Shyam takes 15 more min to reach , Ram meanwhile travels that 15 min in the reverse direction.

and from this point ram and Shyam takes some equal time t to meet.

there for for ram D = 5 * ( t+15)
for Shyam D = 10* t
by solving t = 15 min

there time is 10:15 am + 15 min = 10:30 am
User avatar
D
exc4libur
SVP
SVP
Joined: 24 Nov 2016
Posts: 1720
Own Kudos [?]: 1344 [0]
Given Kudos: 607
Location: United States
Send PM
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   28 Jan 2020, 08:34
Bunuel wrote:
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.

At what time does Shyam overtake Ram?

(A) 10:20 a.m.
(B) 10:30 a.m.
(C) 10:40 a.m.
(D) 10:50 a.m.
(E) 10:55 a.m.


r=d/t, relative rates same direction: subtract

9:45-9:00=45mins*5km/h=15/4km
time to meet=distance ahead/rate S - R
time to meet=(15/4)/(10-5)=15/4*1/5=3/4hrs
9:45+3/4hrs=10:30

Ans (B)
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18767
Own Kudos [?]: 22062 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink] New post   02 Feb 2020, 10:51
Expert Reply
Bunuel wrote:
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.

At what time does Shyam overtake Ram?

(A) 10:20 a.m.
(B) 10:30 a.m.
(C) 10:40 a.m.
(D) 10:50 a.m.
(E) 10:55 a.m.

Are You Up For the Challenge: 700 Level Questions


Since it takes Ram 1 hour to make it to B, Ram starts running back from B to A at 10 am.

By 10 am, Shyram has run for 1/4 hour and has run 10 x 1/4 = 10/4 = 5/2 = 2.5 km from A toward B.

So, the distance between them is 5 - 2.5 = 2.5 km.

Since Shyram runs 10 - 5 = 5 km/h faster than Ram, the distance between the two will decrease by 5 km each hour. Thus, the distance of 2.5 km between the two will be covered in half an hour. This means that Shyram will overtake Ram at 10:00am + 30 minutes = 10:30am.

Answer: B

GMAT Club Bot
gmatclubot
Re: Ram and Shyam run a race between points A and B, 5 km apart. Ram start [#permalink]
02 Feb 2020, 10:51
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions