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How long does it take a particular jet to fly from its base to the Hawaiian Islands?

(1) If the jet’s average speed were 1 1/4 as fast, the flight would take 4 hours.

(2) The jet’s average speed is 500 miles per hour.


agree with A...though have a doubt....1 1/4 as fast - this expression means what? - New Avg Speed is 5/4 times the actual Avg Speed or New Avg Speed is [S + (5/4) S] times the actual Avg Speed....I thought it was the 1st case.... :| ...can someone please clarify :oops:
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guygmat
How long does it take a particular jet to fly from its base to the Hawaiian Islands?

(1) If the jet’s average speed were 1 1/4 as fast, the flight would take 4 hours.

(2) The jet’s average speed is 500 miles per hour.


agree with A...though have a doubt....1 1/4 as fast - this expression means what? - New Avg Speed is 5/4 times the actual Avg Speed or New Avg Speed is [S + (5/4) S] times the actual Avg Speed....I thought it was the 1st case.... :| ...can someone please clarify :oops:

It should be the first case; statement 1 can be rephrased as: 'If the jet's speed was 5/4 times the current speed'. It's not '9/4', just as when we say one thing is 'twice as fast' as another, we mean that it is 2 times as fast, not 3 times as fast. I don't know why the question uses a mixed number in the question; the GMAT would always write 5/4 and not 1 1/4 in this kind of question.
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Let the speed be s, distance d and time t.
s=d/t
d=st
Stmt1: New speed s1=5/4 s and time t1=4
s1=d/t1
d=s1*t1
s*t=s1*t1
s*t=5/4s * 4
t=5
Hence it takes 5 hours to fly from base to Hawaii island.
Sufficient.

Stmt2: avg speed=500m/hr. Not sufficient.

OA A.
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A for me too although I messed up the calculations.. grrrr
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a d/(s*5/4) = 4 gives the value for d/s. sufficient.

b no clue about d.not sufficient.

A it is.
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A is sufficient
5v/4 = d/4

v = d/t
B we dont know the distance . so not sufficient

Answer is A.
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Distance remains same throughout journey

If speed becomes 5/4 then time should become 4/5 as distance is same

4/5 corresponds to 4 hrs means in actual it is 5 hours So (4/5)*5=4

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