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Question:  A non stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it meets the auto at 2 pm. At what time the auto will reach Amritsar?
a) 2.30pm

b) 3.00pm

c) 3.15pm

d) 3.30pm




July 07, 2006 00:53:16 #1
 shivakumar007   Member Since: July 2006    Total Comments: 2 

RE: A non stop bus to Amritsar overtakes an auto also ...
 
Reaches by 3: pm,Solution:(I am not an expert)let's split up time in unit's of 0.5 hrs (ie) 1/2 hoursbus & auto met at a point Awe i''ll take distance traveled in 1 unit of time as Xtime taken to reach amirstar= 2.5 hrs (ie 5 units)from this, we get distance between A & amiristar is 5XTime bus rested= 1 hr(2 unit)time bus Started back =1:30time taken to meet the auto at point B= 2:00 - 1:30 = 0.5 hr(1 unit)time taken by auto to reach point y = 5X - X (4X)now bu equating time taken by auto & bus we get the ratio 4:5+2+1 (4:8)(ie) (1:2) so the auto will travel X diatance in 1 hour. it will reach amristar by 3pm (ie) 2:00 + 1:00
     

 

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