Steve is taking a bus to the 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:
8:32
Step-by-step explanation:
When Alice says “I don’t know when Steve’s bus leaves but neither does Annie” she conveys that the hour that she knows has minute which is there in other hour as well. Otherwise Annie would figure out without Alice knowing hence all hours with 6 and 7 are ruled out.
After that when Annie says that “I didn’t know before but now I do” she makes it clear that she knows the answer and there is only one instance of the time is left which has the minute that she knows so we are left with 8:32, 9:17 and 9:50
Later when Alice confirms that she also know the time now directly confirms us that since there is only one time is of the 8th hour and she is confident she knows hence the answer is 8:32.
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
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