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05 Mar 2019, 05:00
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
66% (01:03) correct
34%
(01:23)
wrong
based on 353
sessions
History
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Time
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How long did it take Bob to complete the race?
(1) If Bob were 2/3 faster, his time would have been 3 hours.
(2) Bob’s average speed was 30 miles per hour.
(1) If Bob were 2/3 faster, his time would have been 3 hours.
(2) Bob’s average speed was 30 miles per hour.
05 Mar 2019, 05:14
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This is a "Value" DS question.
Value: The time it took Bob to finish.
Given information: We know that Distance = Rate x Time, so if we knew Distance/Rate, then we could find the Time. We could think of this question as asking, what is the ratio between Bob's Distance and Bob's Rate?
Need: Distance/Rate
Statement (1):
We know D = R x T.
This says that (5/3)D = R x 3.
Let's simplify:
(5/3)D = 3R
5D = 9R
D/R = 9/5
Sufficient! We found the ratio we were looking for!
Statement (2):
Average Speed = Total Distance / Total Time
30 = D/T
Unfortunately, we cannot find T. This is insufficient.
The answer is (A).
Value: The time it took Bob to finish.
Given information: We know that Distance = Rate x Time, so if we knew Distance/Rate, then we could find the Time. We could think of this question as asking, what is the ratio between Bob's Distance and Bob's Rate?
Need: Distance/Rate
Statement (1):
We know D = R x T.
This says that (5/3)D = R x 3.
Let's simplify:
(5/3)D = 3R
5D = 9R
D/R = 9/5
Sufficient! We found the ratio we were looking for!
Statement (2):
Average Speed = Total Distance / Total Time
30 = D/T
Unfortunately, we cannot find T. This is insufficient.
The answer is (A).
Archit3110
05 Mar 2019, 10:48
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Bunuel
let Bob intial speed = x
and distance =d
so
#1
d=s*t
intial speed =x and time taken (t)= D/x---(1)
now speed is 2x/3 faster
so distane is same but time = 3 hrs
so
we can say
3D/2x= 3
or D/x= 2
so substiuting in 1
we can say t = 2 hrs
sufficeint
#2
avg speed = total distance/total time
30 = D/T
values not know of D & T
in sufficeint
IMO A
