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15 Mar 2012, 14:13
Kudos
Bookmarks
B
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41%
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wrong
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How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?
(1) Carlos's average speed for the trip was 55 miles per hour.
(2) If Carlos's average speed for the trip had been 20 percent faster, the trip would've taken 3 hours.
(1) Carlos's average speed for the trip was 55 miles per hour.
(2) If Carlos's average speed for the trip had been 20 percent faster, the trip would've taken 3 hours.
How come the answer can be B?
This is how I am trying to do it.
Statement 1
Average speed = Total Distance/Total Time
We don't know the distance and therefore cannot calculate the time.
Statement 2
Let the initial speed be s
New speed = s + 0.2(s) = 1.2 s
1.2 S = D/T
Again as we don't know the Distance and Speed we cannot calculate the time.
But combining the 2 statement we can calculate the time. So where I have got it wrong?
This is how I am trying to do it.
Statement 1
Average speed = Total Distance/Total Time
We don't know the distance and therefore cannot calculate the time.
Statement 2
Let the initial speed be s
New speed = s + 0.2(s) = 1.2 s
1.2 S = D/T
Again as we don't know the Distance and Speed we cannot calculate the time.
But combining the 2 statement we can calculate the time. So where I have got it wrong?
15 Mar 2012, 20:26
Kudos
Bookmarks
Statement 1
We dont know the distance so we cannot calculate T
Statement 2
IF we apply ratios we can solve it easily.
New velocity is 1.2 (6/5) times the old velocity
i.e if velocity has increased 6/5 times then time to cover the same distance will reduce to 5/6 times.
so we can write that 5/6T(old time taken)=3(new time taken)
so T(old)=3.6 hrs
so from statement 2 we know the time taken
so the ANS is B
We dont know the distance so we cannot calculate T
Statement 2
IF we apply ratios we can solve it easily.
New velocity is 1.2 (6/5) times the old velocity
i.e if velocity has increased 6/5 times then time to cover the same distance will reduce to 5/6 times.
so we can write that 5/6T(old time taken)=3(new time taken)
so T(old)=3.6 hrs
so from statement 2 we know the time taken
so the ANS is B
16 Mar 2012, 02:10
Kudos
Bookmarks
How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?
Distance=Rate*Time
(1) Carloss average speed for the trip was 55 miles per hour --> Rate=55 miles per hour, we still need Distance to get Time. Not sufficient.
(2) If Carloss average speed for the trip had been 20 percent faster, the trip wouldve taken 3 hours --> notice that we are dealing with the SAME distance: Distance=Rate*Time=(1.2*Rate)*3 --> Rate*Time=(1.2*Rate)*3 --> Time=3.6 hours. Sufficient.
Answer: B.
Distance=Rate*Time
(1) Carloss average speed for the trip was 55 miles per hour --> Rate=55 miles per hour, we still need Distance to get Time. Not sufficient.
(2) If Carloss average speed for the trip had been 20 percent faster, the trip wouldve taken 3 hours --> notice that we are dealing with the SAME distance: Distance=Rate*Time=(1.2*Rate)*3 --> Rate*Time=(1.2*Rate)*3 --> Time=3.6 hours. Sufficient.
Answer: B.
