
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
October 26th, 2018, 04:56 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 343 Thanks: 1  How to solve this Late/Early/Usual Time type problem?
A person reaches office 15 mins late when travelling speed of 40 km/hr. A person reaches office 10 mins early when travelling speed of 50 km/hr. How much time he should travel if he reaches office by 1 hour late? Overall distance = 25*40*50/10*60 = 83.33m First person's time without considering late = 83.33/40 = 2.08hr after this how to solve it? Last edited by Ganesh Ujwal; October 26th, 2018 at 04:59 AM. 
October 26th, 2018, 10:00 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,791 Thanks: 970 
v = required speed to get to office on time t = required time to get to office on time @v...............vt................>t @40.........40(t+1/4)..........>t+1/4 (15 min = 1/4 hr) @50.........50(t1/6)...........>t1/6 (10 min = 1/6 hr) 40(t+1/4) = 50(t1/6) Solve for t...then continue... 
October 26th, 2018, 07:34 PM  #3 
Senior Member Joined: Aug 2014 From: India Posts: 343 Thanks: 1  
October 27th, 2018, 05:46 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,791 Thanks: 970 
C'mon Ganesh. If it takes 1.83 hr to be on time, how long does it take to be 1 hour late? 
October 27th, 2018, 09:11 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,098 Thanks: 1905  The overall distance unit should be km, not m. The time you found, 2.08 hr (or exactly 2 hr 5 min) includes being 15 min late, so the journey time for arrival on time is exactly 1 hr 50 min. 
October 28th, 2018, 03:38 AM  #6 
Senior Member Joined: Aug 2014 From: India Posts: 343 Thanks: 1  
October 28th, 2018, 06:01 AM  #7 
Global Moderator Joined: Dec 2006 Posts: 20,098 Thanks: 1905 
That would be exactly one hour more than the time found for arriving on time.

October 28th, 2018, 06:16 AM  #8 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,791 Thanks: 970  

Tags 
late or early or usual, problem, solve, time, type 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How to solve this puzzling type time and distance model problem?  Ganesh Ujwal  Elementary Math  11  July 10th, 2018 01:18 PM 
How to solve this type of problems in easy way?  Ganesh Ujwal  Elementary Math  2  June 18th, 2018 04:41 AM 
How to solve this "time and distance" concept problem?  Ganesh Ujwal  Elementary Math  2  April 27th, 2018 11:54 AM 
Trigno problem. 'Solve equation for' type quests.  SolCon  Algebra  11  January 24th, 2011 07:57 AM 
Trigno problem. 'Solve equation for' type quests.  SolCon  Calculus  1  December 31st, 1969 04:00 PM 