Bridge and torch problem : Four people come to a river in the night. There is a narrow bridge, but it can only hold two people at a time. They have one torch and, because it's night, the torch has to be used when crossing the bridge. Person A can cross the bridge in 1 minute, B in 2 minutes, C in 7 minutes, and D in 10 minutes. When two people cross the bridge together, they must move at the slower person's pace. What is the least time taken for them to get across the bridge?

VINOTH BABU
8d
17 min
RAHUL TIWARI
13d
1. A and B cross the bridge together (2 minutes). Torch is with them. 2. A returns with the torch (1 minute). Total time: 3 minutes. 3. C and D cross the bridge together (10 minutes). Torch is with th...read more
Mihir Vikram Singh Chauhan
22d
10 min A uses torch and crosses with B That is 2 minutes. Then A returns and crosses with C that is 7 minutes. => 2+1+7=10
Satya Narayana Reddy
27d
17 minutes
Parvez Hakim
29d
Step 1: A and B cross the bridge. A comes back. Time taken 3 minutes. Now B is on the other side. Step 2: C and D cross the bridge. B comes back. Time taken 8 + 2 = 10 minutes. Now C and D are on the ...read more
Anonymous
1mo
Sir, this question is wrong as long as it does not measure the length of the pool or the speed of the bucket.
Anonymous
1mo
B2
Anonymous
1mo
B2
Adithya CP
1mo
Total time taken will be 21 minutes
Anonymous
1mo
D
kiran babu
2mo
17 minutes
Sunita Tiwary
2mo
They will cross bridge in total 10 minutes. D will start with torch every time in his hand. First A will join him and reach other side of the bridge , followed by B who will reach the other side in 2 ...read more
Anonymous
2mo
A @ D will take to 10 minutes to cross the bridge so all of them will take 21 minutes to cross the bridge
Devika K.S
2mo
The bridge and torch problem (also known as The Midnight Train[1] and Dangerous crossing[2]) is a logic puzzle that deals with four people, a bridge and a torch. It is in the category of river crossin...read more
Hillan Shaba
2mo
currently not working
A&D will take 10 minutes to cross the bridge. So all of them will take 21 minutes to cross the bridge.
Praveen Singh
2mo
7 minutes with each for crossing the bridge.
Akshay Lilhare
2mo
Step 1: 2 minutes (A and B cross) Step 2: 1 minute (A returns) Step 3: 10 minutes (C and D cross) Step 4: 2 minutes (B returns) Step 5: 2 minutes (A and B cross again) Total Time = 2 + 1 + 10 + 2 + 2 ...read more
Anonymous
2mo
17 minutes
Hillan Shaba
2mo
currently not working
17 minutes
Ankit Pachauri
2mo
17 minutes with each for crossing the bridge
krishnakddinker9555
2mo
works at
How it solved
Anonymous
3mo
17 minutes
Piyush Bhatt
3mo
17 minutes
Anonymous
3mo
17 minutes
Venkatesh Karthik
3mo
The least time taken for all four people to get across the bridge is 17 minutes
opulentcornetto
3mo
currently not working
They are all cross the bridge 15 minutes everyone
Anonymous
3mo
A+B = 2 A returns = 1 C+D = 10 B returns = 2 A+B = 2 Total = 17 mins
naveen kumari
3mo
Step 1: 2 minutes (A and B cross) Step 2: 1 minute (A returns) Step 3: 10 minutes (C and D cross) Step 4: 2 minutes (B returns) Step 5: 2 minutes (A and B cross again) Total Time = 2 + 1 + 10 + 2 + 2 ...read more
Ekansh Agnihotri
3mo
-- A + B = 2min -- A back = 1min -- C + D = 10min -- B back = 2min -- A + B = 2min -- Therefore 17 min
Anonymous
3mo
A and B cross in 2 minutes and C and D in 10 minutes.. This,least time taken=12 minutes..
Anonymous
3mo
12 minutes
Anonymous
3mo
21mins
Lavneesh Yadav
4mo
21 mins
Srinivas Krishnan
4mo
21 mins
Sandra shirisha
3mo
24mins
Anonymous
4mo
17
Kavya Narkuti
4mo
7 minutes
Vivacious Priya
4mo
A and B cross in 2 minutes= 2 min A returns in 1 minutes= total 3 min C and D cross in 8 minutes =total 8+3=11 minutes B returns in 2 minutes= 11 +2 =13 minutes A and B cross in 2 minutes =total 13+2=...read more
Anonymous
3mo
how can C and D cross in 8 mins? doesnt make sense. answer will be 21 mins.
Virendra Saini
4mo
Four people come to a river in the night. There is a narrow bridge, and it can only hold two people at a time. They have one torch and, because it's night, the torch has to be used when crossing the b...read more
Anonymous
4mo
Answer is "No"
Anonymous
4mo
10
MANVEL M
4mo
Total Time: 2 + 1 + 10 + 2 + 2 = 17 minutes Therefore, the least time taken for all four people to get across the bridge is 17 minutes.
Anonymous
4mo
21 minute
Sandip Salunkhe
4mo
A and B cross: 2 minutes A returns: 1 minute C and D cross: 10 minutes B returns: 2 minutes A and B cross: 2 minutes Total time: 2+1+10+2+2=17 minutes
Anonymous
5mo
17 Minutes
Anonymous
4mo
9.2
Anonymous
5mo
17minutes
Chheetar Lal Sen
5mo
17 Minutes
Anonymous
5mo
21
Arnab Sen
5mo
A, B goes -> 2 mins A come back -> 1 min C, D goes -> 10 mins B comes back -> 2 mins A, B goes -> 2 mins Total 17 mins
SHAJEETH S
5mo
student at
Sri Krishna College of Engineering and Technology, Coimbatore
1st A & B pair and cross at 2 mins. 2nd C & D pair and can cross at 10 mins. so total 12 mins they can cross the bridge at least time.
Arnab Sen
5mo
what about the torch when C,D goes?. someone has to come back with the torch
Deepshikha Mehta
5mo
17 minutes
Aayush
5mo
In 17 minutes
Anonymous
5mo
17 minutes
Mohammed Salal
5mo
17 A+B-2 A-1 C+D-10 B-2 A+B-2 =2+1+10+2+2
vikram shekhawat
5mo
1st to and fro- A+B=3 2nd to and fro- A+C=8 3rd one side-A+D=10 Total=21 Minutes
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