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

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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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uday reddy

  • Jul 30th, 2006
 

shivkumar,
your answer is 100% correct, you are really a champ

keep it up

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Raj Kishore Singh

  • Aug 17th, 2006
 

Answer:b:3 P.M.

Assumptions:

Distance between two points where Bus meets auto=x

Distance between the point where bus meets auto for the second time and Amritsar=y

velocity of bus=Vb

velocity of auto=va

vb=x/2

va=x/4

y=0.5*vb=05*x/2

time taken by auto for covering the distance y=y/va=1 Hour

hence time at which auto reaches Amritsar=2 P.M.+1 hour=3 P.M.

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Raj Kishore Singh

  • Aug 17th, 2006
 

Answer: b: 3 P.M.


 

 

Let distance between two points where they met=x

Distance between Amritsar and the point where bus and auto met second time=y

Velocity of bus=Vb

Velocity of Auto=Va

Vb=x/2

Va=x/4

Y=0.5*Vb=0.5*x/2

Time for the auto to cover y=y/Va=1

Hence time at which auto reaches Amritsar=2 P.M.+ 1 hour=3P.M.

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(Sorry for the poor formatting of my First Reply)

Reaches by 3:00 pm

Solution:(I am not an expert)

let's split up time in unit's of 0.5 hrs (ie) 1/2 hours

bus & auto met at a point A

we i''ll take distance traveled in 1 unit of time as X

time taken to reach amirstar= 2.5 hrs (ie 5 units)

from this, we get distance between A & amiristar is 5X

Time bus rested= 1 hr(2 unit=2X)

Time bus Started back =1:30

time taken to meet the auto at point B= 2:00 - 1:30 = 0.5 hr(1 unit= 1X)

time taken by auto to reach point y = 5X - X (4X)

now by 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

ravi

  • Jun 13th, 2007
 

Its simple, It takes one hour to reach and hence 2 + 1 is 3. Its meets the auto by 2 so it takes one more hour to reach hence 3 is the answer.

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