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If Bill made no stops on the trip, what was Bill's average (arithmetic 04 Mar 2025, 01:30
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78% (00:59) correct 22% (01:27) wrong based on 72 sessions

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

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


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If Bill made no stops on the trip, what was Bill's average (arithmetic 04 Mar 2025, 01:45
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T = 3h
S(avg) =?
S = D/T

We need total D or speeds along with ratio of distances (weights) to calculate the avg S

Statement 1
D = 120
Sufficient

Statement 2
s1 = 30 for D/2
s2 = 60 for D/2
S avg can be calculated using 2 speeds, given d is same
Sufficient
Bunuel
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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If Bill made no stops on the trip, what was Bill's average (arithmetic 04 Mar 2025, 02:48
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Question: Average Speed for 3-hours trip = ?

Statement 1: He traveled a total of 120 miles.

Speed = Total Distance / Total Time = 120/3 = 40 mph
SUFFICIENT

Statement 2: He traveled half the distance at 30 mph and half the distance at 60 miles per hour
Time for first half = (D/2)/30 = D/60
Time for second half = (D/2)/60 = D/120
Total \(Time = t_1 + t_2\)
i.e. 3 = [D/60] + [D/120]
i.e. D = 120
i.e. Average Speed = 40 mph
SUFFICIENT


Answer: Option D

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Bunuel
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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If Bill made no stops on the trip, what was Bill's average (arithmetic 04 Mar 2025, 22:21
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We need to determine Bill's average speed for his 3-hour trip. The formula for average speed is:

Average Speed = Total Distance / Total Time

Step 1: Evaluating Statement (1)
(1) Bill traveled a total of 120 miles.
- The total time is given as 3 hours.
- Using the formula:
Average Speed = 120 miles / 3 hours = 40 mph.
- Since we can determine a numerical value for average speed, this statement alone is sufficient.

Sufficient.

Step 2: Evaluating Statement (2)
(2) Bill traveled half the distance at 30 mph and half at 60 mph.
- Let the total distance be D.
- Half the distance is D/2.
- Time for the first half: (D/2) / 30 = D / 60.
- Time for the second half: (D/2) / 60 = D / 120.
- Total time = D/60 + D/120 = (2D + D) / 120 = 3D/120 = D/40.

Average speed = Total Distance / Total Time = D / (D/40) = 40 mph.
Since we arrive at a single numerical answer, this statement alone is sufficient.

Sufficient.

Step 3: Final Answer
Since each statement alone is sufficient, the correct answer is:

(D) Each statement alone is sufficient.
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