Latest Wipro Aptitude Question SOLUTION: two men together start a journey in the same direction.they travel 9 kmph and 15 kmph respectively.after travelling for 6 hours the man travelling at 9kmph doubles his speed and bo

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two men together start a journey in the same direction.they travel 9 kmph and 15 kmph respectively.after travelling for 6 hours the man travelling at 9kmph doubles his speed and both of them finish the distance in the same time.how many hours will they take to reach their destination?

Asked In Wipro AISHWARYA (10 years ago)

Unsolved Read Solution (8)

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m s aditya  (10 years ago)

initially, A's-> 9 * 6 = 54 km , B's-> 15 * 6 = 90 km (At 6 hours)
difference between them is 36 km's, A's speed is doubled (9 -> 18)
no difference between A and B is 3 kmph so, 36 / 3 = 12
initially 6 hrs +12 hrs = 18 hrs

Is this solution Helpfull? Yes (35) | No (1)  

piyushgupta  (10 years ago)

18 hour is ans.....
let total dis is=x
thn acc to qus (x-54)/18=(x-90)/15

Is this solution Helpfull? Yes (7) | No (5)  

leelavathi  (10 years ago)

initially A's speed= 9 kmph , B's speed=15kmph
as they both are travelling in the same direction relative speed= 15-9=6kmph.
we know that s=d/t,
d=s*t -> d= 6*6 (time= 6 hrs given)-> d=36km (this is the distance travelled by both persons in 6 hrs)
after 6 hrs A doubles his speed i.e 9*2 (18km).
so A's speed=18 B's speed=15
relative speed= 18-15 = 3km
t=d/s -> t=36/3 -> t=12 hrs
therefore total time taken= 6(initial time)+ 12
= 6+12 -> 18hrs.

Is this solution Helpfull? Yes (6) | No   

Trisha  (10 years ago)

relative speed of both men=6kmph so distance covered in 6 hrs=36 km.
now, ist man doubles his speed that is 18 kmph. so time=36/18=2 hrs. total=8 hrs.

Is this solution Helpfull? Yes (3) | No (12)  

santonu  (10 years ago)

as the time is same so we equate the time.
asuming total dist to be x.
now dist covered by A n B respestvly in 6 hrs is 54km & 90km.
so the remaining dist for A and B are (x-54)&(x-90).
equatin time we get (x-54)/(2*9)=(x-90)/15
solving we get x= 270km..so time =270/15=18 min

Is this solution Helpfull? Yes (3) | No (3)  

Ravikumar  (10 years ago)

9y+18z=15x,
so y+z=x
by solving above equations we got x/z=3/2
by substuting in second y=1
so 9+2(18)=3(15)
so total 3 hours....

Is this solution Helpfull? Yes (2) | No (9)  

MD FAIZ AKRAM  (10 years ago)

ans is 18 hour i.e 270 km

Is this solution Helpfull? Yes (1) | No (4)  

Divya Srivastava  (5 years ago)

Initially there are two speed in the same direction so sp1 - sp2
(15-9) =6km/hr.
Speed =distance /time
6=D/6
D=36 km.
Now after 6 hours the speed increases double i. e 18km/hr so
Speed in the same direction i. e, total speed=18-15=3 km/hr.
Time=distance/speed
T=36/3
12hours
Total time=12hrs+6 hours
18 hours Ans.

Is this solution Helpfull? Yes (1) | No (1)  

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