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If he made no stops on the trip, what was Bill's average (arithmetic

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If he made no stops on the trip, what was Bill's average (arithmetic  [#permalink]

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New post 07 May 2017, 13:56
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  55% (hard)

Question Stats:

58% (01:17) correct 42% (01:08) wrong based on 96 sessions

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If he made no stops on the trip, what was Bill's average (arithmetic mean) speed for his 3-hour trip?

(1) He traveled a total of 120 miles.
(2) He traveled half the distance at 30 mph and half the distance at 60 miles per hour

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Re: If he made no stops on the trip, what was Bill's average (arithmetic  [#permalink]

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New post 07 May 2017, 23:13
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Bunuel wrote:
If he made no stops on the trip, what was Bill's average (arithmetic mean) speed for his 3-hour trip?

(1) He traveled a total of 120 miles.
(2) He traveled half the distance at 30 mph and half the distance at 60 miles per hour


We need to find Bill's average speed and we know the time he spent on the trip, i.e. 3 hours
Average speed = Total Distance/ Total Time
We know total time and if we know total distance, we will have the answer

Statement 1 :
He traveled 120 miles in total. We know total distance through this hence, Statement 1 is sufficient

Statement 2 :
He traveled half the distance at 30 mph and half at 60 mph

Let's consider total distance to be x. We know he traveled x/2 at 30mph and x/2 at 60 mph
Therefore (x/2)/30 + (x/2)/60 = Total Time (since, Distance/Speed = Time)
We can find the value of x from the above equation, which is the total distance.

Hence Statement 2 is also sufficient

Therefore, Answer is D
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Re: If he made no stops on the trip, what was Bill's average (arithmetic  [#permalink]

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New post 07 May 2017, 23:52
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Average speed = Total Distance/ Total Time

Stat1 :
He traveled 120 miles in total. We know total distance through this,,,,suff

Statement 2 :
He traveled half the distance at 30 mph and half at 60 mph

Let total distance be d. We know he traveled d/2 at 30mph and d/2 at 60 mph
Therefore (d/2)/30 + (d/2)/60 = Total Time
We can find the value of d from the above equation, which is the total distance.

Stat 2 is suff

Ans D
Re: If he made no stops on the trip, what was Bill's average (arithmetic &nbs [#permalink] 07 May 2017, 23:52
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