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Re: Bob and Wendy planned to walk from their home to a [#permalink]
I didnt understand why statement 1/2 alone arent sufficient. Please let me know where am I going wrong

Question interpretation:
Wendy reached in 't'
Since Bob started late half an hr therefore Bob must have reached in t+1/2

Statement 1:- Given Wendy's speed is 4

therefore we can calculate t since we know the distance = 3
Once we get t we can find time taken by Bob as well

Statement 2 : -
s= speed of Wendy
we know for Bob = (s+1) (t+1/2)=3
for Wendy = s(t )=3

If we equate both we can find t .

Where am I going wrong? Why cant we relate Bob & Wendy's time?
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Re: Bob and Wendy planned to walk from their home to a [#permalink]
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Seemachandran, your solution requires us to assume that Bob takes the same amount of time to make the trip as Wendy. Without the statements, we know nothing about this. So he may arrive hours later or just a short time after Wendy--we have no idea. (Also, be careful with your equation: we don't want to multiply Bob's speed by (t+1/2), since he isn't walking during that half hour. His speed during that time is zero!)

Statement 1 tells us nothing about Bob, so there is no way to solve.

Statement 2 tells us that Bob is 1 mph faster than Wendy, but that's not sufficient. Here are a few possibilities:

Wendy's rate is 5 mph and Bob's is 6 mph. Her walk is 36 min and Bob's is 30 min. Since she left 30 min earlier, he arrives 24 minutes after her.
Wendy's rate is 4 mph and Bob's is 5 mph. Her walk is 45 min and Bob's is 36 min. Since she left 30 min earlier, he arrives 21 minutes after her.

More than one possibility? This is insufficient, but if we combine 1&2 we get the second possibility above. Sufficient!
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Re: Bob and Wendy planned to walk from their home to a [#permalink]
I can see that statement (1) requires analysis before being judged insufficient.

But what about statement (2)? To me, it is very clear that (2) just gives the answer asked straight away. No need for analysis. Am I missing something here?
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Re: Bob and Wendy planned to walk from their home to a [#permalink]
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dennispouka
The issue is that we don't know Bob's actual rate, just his rate relative to Wendy's. See my post directly above yours for a couple of cases.
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Bob and Wendy planned to walk from their home to a [#permalink]
DmitryFarber Thanks for the reply. I was referring to a different version of the same problem, whereby statement (2) said that Wendy would wait 32 minutes alone.
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Re: Bob and Wendy planned to walk from their home to a [#permalink]
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Re: Bob and Wendy planned to walk from their home to a [#permalink]
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