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October 26th, 2018, 04:56 AM   #1
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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.
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October 26th, 2018, 10:00 AM   #2
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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(t-1/6)...........>t-1/6 (10 min = 1/6 hr)

40(t+1/4) = 50(t-1/6)
Solve for t...then continue...
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October 26th, 2018, 07:34 PM   #3
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Quote:
Originally Posted by Denis View Post
40(t+1/4) = 50(t-1/6)
Solve for t...then continue...
40t + 10 = 50t - 50/6
10t = 10 + 50/6
10t = 110/6
I got t = 1.83 hr.

After this, how to proceed?
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October 27th, 2018, 05:46 AM   #4
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C'mon Ganesh. If it takes 1.83 hr to be on time,
how long does it take to be 1 hour late?
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October 27th, 2018, 09:11 AM   #5
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Quote:
Originally Posted by Ganesh Ujwal View Post
Overall distance = 25*40*50/10*60 = 83.33m
The overall distance unit should be km, not m.

Quote:
Originally Posted by Ganesh Ujwal View Post
First person's time without considering late = 83.33/40 = 2.08hr
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.
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October 28th, 2018, 03:38 AM   #6
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Quote:
Originally Posted by skipjack View Post
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.
But I need to find how much time he should travel if he reaches office by 1 hour late?
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October 28th, 2018, 06:01 AM   #7
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That would be exactly one hour more than the time found for arriving on time.
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October 28th, 2018, 06:16 AM   #8
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Quote:
Originally Posted by Ganesh Ujwal View Post
But I need to find how much time he should travel if he reaches office by 1 hour late?
I already told you that: solve for t, then add 1 hour...
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