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GATE BT-2017 Answer Key | Solutions Discussion
#21
(02-06-2017, 06:10 PM)pragari Wrote: Please answer this.

There are trucks and cars traveling in a single lane. The size of Truck is 10 m while a size of a car is 5 m. There should be 20 m gaps between each truck and 15 m gap in each car. Cars and Trucks can travel alternately at the speed of 36 km/h. How many vehicles can cross a bridge (nothing particular value given aboutto the bridge) in an hour?

with no information about  the bridge length, this question is incomplete....
Sunil Nagpal
MS(Research) Scholar, IIT Delhi (Alumnus)
Advisor for the Biotech Students portal (BiotechStudents.com)
Computational Researcher in BioSciences at a leading MNC


Suggested Reads:
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Indian Biotech Companies and Job Openings
Aiming a PhD in Top Grad School? | These are the Important Points to Consider
Careers in Biotechnology | A list of various Options
Biotechnology Competitive Exams in India
#22
(02-06-2017, 07:05 PM)SunilNagpal Wrote:
(02-06-2017, 06:10 PM)pragari Wrote: Please answer this.

There are trucks and cars traveling in a single lane. The size of Truck is 10 m while a size of a car is 5 m. There should be 20 m gaps between each truck and 15 m gap in each car. Cars and Trucks can travel alternately at the speed of 36 km/h. How many vehicles can cross a bridge (nothing particular value given aboutto the bridge) in an hour?

with no information about  the bridge length, this question is incomplete....

I agree, but this was the question. No details related to the bridge was given. for sure..
#23
a little correction. The gap required is minimum
#24
Ans would be 1440.

10+5+20+15=50

36000m/50m = 720.

Since we included both car n truck hence total no. 2x720= 1440
#25
(02-07-2017, 04:34 AM)RONIT SHARMA Wrote: Ans would be 1440.

10+5+20+15=50

36000m/50m = 720.

Since we included both car n truck hence total no. 2x720= 1440
Thanks for approaching the question Ronit, atleast you put forward a point that one shouldn't just assume , but should rather try.....was this another question from GATE only?

Since it's an open discussion, I wished to add a point of view and also seek some clarification...

If I approach it in following way, let's see what comes out (haven't tried it, just writing the attempt extempore)...

1. Length of bridge (B) in metres
2. Number of cars that can cover the entire bridge © = B ÷ (Length of car + gap between cars)
3. Number of trucks that can cover the entire bridge (t)= B ÷ (Length of truck + gap between trucks)
4. Number of bridge lengths that can be covered per hour (N) = 36000/ B
5. Number of vehicles that can travel on the bridge in one hour = N× c + N×t or N(c + t)
= (36000/B)× B/[(1/20) + (1/30)]
= 36000/20 + 36000/30
= 1800 + 1200 = 3000

Now, the problem with this approach is that we are assuming that cars n trucks are individually driving through the bridge with no alternating.

So, if we alternate, then both trucks and cars will get only half of the chance of going through the bridge....

Making it 3000/2 = 1500 vehicles.....I might be completely wrong if that was not even an option, (as I was wrong in assuming that bridge length is important)...but definitely do let me know how the approach is flawed if 1500 is not even an option...

About alternating...
If it is c t c t c t c t then gaps won't make sense. So thought of sending cars in one go then trucks in the next turn..

N guys it's fun to be back on these tracks out of the routine corporate work..thanks for sharing the problem
Sunil Nagpal
MS(Research) Scholar, IIT Delhi (Alumnus)
Advisor for the Biotech Students portal (BiotechStudents.com)
Computational Researcher in BioSciences at a leading MNC


Suggested Reads:
Top Biotech Companies | Top places to work
Indian Biotech Companies and Job Openings
Aiming a PhD in Top Grad School? | These are the Important Points to Consider
Careers in Biotechnology | A list of various Options
Biotechnology Competitive Exams in India
#26
Thank you Sunil for in depth analysis of the question. As far as I remember the options were 600, 1200, 720 and one more which I dont remember at this moment .The explaination of 50 meters for 4 vehicles seems to be right. Even I got the same but that makes 720, not to forget it includes 4 vehicles. So must multiply it by 4
#27
My bad .. I agree with you guys...it's a simple case, better not make it tough one...

but pardon my curiosity of digging deep into the possibilities, what about following cases Tongue

10 (truck) + 5 (car) + 15 (gap) -------- (repeat)

i.e
 
10 (truck) + 5 (car) + 15 (gap) + 10 (truck) + 5 (car) + 15 (gap) +10 (truck) + 5 (car) + 15 (gap) +10 (truck) + 5 (car) + 15 (gap) ..................

This leaves at least 20m distance between two trucks and minimum 15 between two cars...? 

And another funny curiosity: "What if the bridge was very long (say > 36km)....in such a scenario, no one would ever "cross" it Tongue
Sunil Nagpal
MS(Research) Scholar, IIT Delhi (Alumnus)
Advisor for the Biotech Students portal (BiotechStudents.com)
Computational Researcher in BioSciences at a leading MNC


Suggested Reads:
Top Biotech Companies | Top places to work
Indian Biotech Companies and Job Openings
Aiming a PhD in Top Grad School? | These are the Important Points to Consider
Careers in Biotechnology | A list of various Options
Biotechnology Competitive Exams in India
#28
I wish this question is of discrepancy and marks should be allotted to everyone
#29
600, 1200, 720 & 1440 were options and precisely ans would be 1440 only if bridge length is 36000m
[+] 1 user Likes RONIT SHARMA's post
#30
(02-08-2017, 01:26 AM)RONIT SHARMA Wrote: 600, 1200, 720 & 1440 were options and precisely ans would be 1440 only if bridge length is 36000m
Going by the approach you followed, 1440 is the most acceptable answer Ronit..any more questions? Isn't the question paper already available in the GATE login now? If it is, do share the same...thanks and best wishes for the results!
Sunil Nagpal
MS(Research) Scholar, IIT Delhi (Alumnus)
Advisor for the Biotech Students portal (BiotechStudents.com)
Computational Researcher in BioSciences at a leading MNC


Suggested Reads:
Top Biotech Companies | Top places to work
Indian Biotech Companies and Job Openings
Aiming a PhD in Top Grad School? | These are the Important Points to Consider
Careers in Biotechnology | A list of various Options
Biotechnology Competitive Exams in India
  
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