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

Redeem

Only allegation method please

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 23
Joined: Wed Sep 14, 2011 12:34 am

Only allegation method please

by seema19 » Wed Oct 12, 2011 9:38 am
A man covered a distance of 2000 km in 18 hrs partly by bus at 72 kmph and partly by train at 160 kmph. The distance covered by the bus is:
1) 1280 km
2) 720 km
3) 860 km
4) 640 km
5) 320 km

Answer: 2

Can someone please let me know how to solve this using allegation method.
Top
Source: — Problem Solving |
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 am
Location: Chennai, India
Thanked: 206 times
Followed by:43 members
GMAT Score:640

by GmatKiss » Wed Oct 12, 2011 9:50 am
A man covered a distance of 2000 km in 18 hrs partly by bus at 72 kmph and partly by train at 160 kmph. The distance covered by the bus is:

1) 1280 km
2) 720 km
3) 860 km
4) 640 km
5) 320 km

Its clear that, the answer should be 72*5 or 72*10 or 72*15

Try,

a)72*5 = 360 , remaining (2000-360) = 1640 (cannot be the distance by train)
b)72*10 = 720, remaining (2000-720) = 1280 (takes 8 hrs for train) - success!!

IMO: 2
Top
User avatar
Senior | Next Rank: 100 Posts
Posts: 94
Joined: Sun Aug 29, 2010 3:40 am
Thanked: 3 times
Followed by:1 members

by leonswati » Wed Oct 12, 2011 10:12 am
You can solve it using allegation method but that would be time consuming... However..

Rate Rate Rate Time time Distance

Bus Bus 72 time 18-t time d

Trainbus 160 time t time 2000-d


Therefore total distance

160t + 72(18-t)= 2000

therefore t = 8

and total distance traveled by bus is (18-t)*72 = 10*72 = 720
Top
Post new topic Post Reply
• Page 1 of 1