BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

jogging

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

jogging

by shashank.ism » Wed Feb 10, 2010 9:29 am
There are three runners viz , Nishant , Deepak and Mohit who jog on the same path. Nishant goes jogging every two days. Deepak goes jogging every four days. Mohit goes jogging every seven days. If its the first day that they started this routine, what is the total number of days that each person will jog by himself in the next seven weeks?

A) 12
B) 13
C) 14
D) 15
E) 16
[spoiler]Correct Answer: B[/spoiler]
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
Source: — Problem Solving |
User avatar
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Sat Oct 31, 2009 10:52 am
Location: rourkela
Thanked: 1 times

by sanjayism » Wed Feb 10, 2010 9:43 am
deepak goes jogging every four days and Nishant goes every two days, so deepak meet with nishant on everry altermate jogging day. and they all meet each other when deepak comes for jogging, so the no of days they will meet for jogging is equal to no of days deepak arrive for jogging.

so total no days, deepak will come for jogging =13
so, answer= B

49=1+(n-1)*4
=> n=1+50/4
=> n=1+12
n=13
kumar sanjay
Top
User avatar
Legendary Member
Posts: 1560
Joined: Tue Nov 17, 2009 2:38 am
Thanked: 137 times
Followed by:5 members

by thephoenix » Wed Feb 10, 2010 9:44 am
Nishant-------->2
Deepak-------->4
Mohit----------->7
tot days=7*7=49
N & D will coincide in lcm of 2,4=4 , 49/4=12(approx) days out of 49 days
d&M will coincide in lcm of 4,7=28 ---> in 49/28=1 day out of 49 days
N & M--->lcm 2,7=14--->49/14=3 days

now N runs for 49/2=24 days so alone=24-12days with D-3 days with M=9 days alone

for D =49/4=12-12 days with N=0

for M =49/7=7- 1 day with D-3 day with N=3 days alone
tot=9+3=12

total=1 day at starting where each one is jogging alone +12 alone daye=13
Top
Post new topic Post Reply
• Page 1 of 1