Steve is taking a bus to Central Park. Steve tells Alice the hour of his bus departure and he tells Annie at which minute it leaves. He also tells them both that the bus leaves between 0600 and 1000.
Alice & Annie consult the timetable and find the following services between those two time: 0632 0643 0650 0717 0746 0819 0832 0917 0919 0950.
Alice then says “I don’t know when Steve’s bus leaves but I am sure that neither does Annie”
Annie Replies “I didn’t know his bus, but now i do”
Alice responds “Now I do as well!”
When is Steve’s bus?
Answers
Answer:
0832
Explanation:
When Alice is sure that Annie doesn’t know the time the options of 06 and 07 can be removed...if it’s in the options of 06 or 07 Alice would have had a doubt that Annie knows the answer as 43 and 46 are not repeated
Annie knows that it’s not 06 07 So she has 0819 0832 0917 0919 0950...if its 19 minutes Annie would have had a doubt in 0819 and 0919 so remove then
0832 0917 0950 are left
As soon as Annie knows the time Alice knows it as well...if it’s in 09 Alice would have had a doubt in 0917 and 0950....so it’s 0832
Steve's Bus is at 8 :32
Step-by-step explanation:
Bus timings :
06 : 32
06 : 43
06 : 50
07 : 17
07 : 46
08 : 19
08 : 32
09: 17
09: 19
09:50
Alice Do not know bus time because each hour has more than 1 timing
but Alice says Annies also does not know
if it was 6 hr then at 43 minutes Annie would have known that 6 : 43 is the bus time
hence hr is not 6
if it was 7 hr then at 46 minutes annie would know that its 7 : 46
hence hr is not 7
if it was 8 hr then Annie could not know exact time as 19 & 32 minutes are available in different hrs
so hr can be 8
if it was 9 hr , Annie could not know exact time as 17 , 19 & 50 minutes are available in different hrs
So hr can be 9 also
now annie knows hr is 8 or 9
19 is common in both so minute can not b 19
so bus timing can be 8 : 32 or 9:17 or 9 : 50
but know Allice say she also knows the bus timing
hence it must be 8 : 32 ( as in case of 9 hr there are two options so Allice would not have known exact timing if it has been 9 hr hence it must be 8 hr)
Hence Steve Bus timing is 8 : 32
Steve’s bus is at 8 :32
Learn More:
Just a riddle..One boy is fishing..with doctor..He is not his father then ...
https://brainly.in/question/12426949
Let us find how many riddles you can solve.(i) I am the only noble ...
https://brainly.in/question/11844383
https://brainly.in/question/16458588