Practice
Resources
Contests
Online IDE
New
Free Mock
Events New Scaler
Practice
Improve your coding skills with our resources
Contests
Compete in popular contests with top coders
Events
Attend free live masterclass hosted by top tech professionals
New
Scaler
Explore Offerings by SCALER

# Cross the Bridge

Four people are on this side of the bridge. Everyone has to get across.
Problem is that it’s dark and so you can’t cross the bridge without a flashlight and they only have one flashlight.
Plus the bridge is only big enough for two people to cross at once.
The four people walk at different speeds:

• one fella is so fast it only takes him 1 minute to cross the bridge,
• another 2 minutes,
• a third 5 minutes,
• the last it takes 10 minutes to cross the bridge.

When two people cross the bridge together (sharing the flashlight), they both walk at the slower person’s pace. What is the minimum time required for all 4 to cross the bridge.

Respond with a number which represents the number of minutes.

Answer is a integer. Just put the number without any decimal places if its an integer. If the answer is Infinity, output Infinity.

Feel free to get in touch with us if you have any questions

Hints
• Complete Solution

## Discussion

Free Mock Assessment
Fill up the details for personalised experience.
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
*Enter the expected year of graduation if you're student
Current Employer
Company Name
College/University Name
Job Title
Job Title
Software Development Engineer (Backend)
Software Development Engineer (Frontend)
Software Development Engineer (Full Stack)
Data Scientist
Android Engineer
iOS Engineer
Devops Engineer
Support Engineer
Research Engineer
Engineering Intern
QA Engineer
Co-founder
SDET
Product Manager
Product Designer
Backend Architect
Program Manager
Release Engineer