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What is the average speed for a 300 miles trip? (1) The average speed

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What is the average speed for a 300 miles trip? (1) The average speed  [#permalink]

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New post 02 Jul 2019, 06:36
3
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:06) correct 39% (01:29) wrong based on 99 sessions

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What is the average speed for a 300 miles trip?

(1) The average speed for the first 150 miles is 60 miles per hour.

(2) The average speed for the last 200 miles is 75 miles per hour.
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Re: What is the average speed for a 300 miles trip? (1) The average speed  [#permalink]

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New post 02 Jul 2019, 10:06
Average speed = Total distance/Total time

Considering statement (1) alone:
The average speed for the first 150 miles is 60 miles per hour.
=> Time taken = 2.5 hours
But, we have no idea about the final 150 miles.
Hence, INSUFFICIENT

Considering statement (2) alone:
The average speed for the last 200 miles is 75 miles per hour.
=> Time taken = 2.66 hours
But, we have no idea about the first 100 miles.
Hence, INSUFFICIENT

Considering both the statements together:
We know about two different distances but not about the complete 300 miles
Hence, INSUFFICIENT

The answer is (E).
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Re: What is the average speed for a 300 miles trip? (1) The average speed  [#permalink]

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New post 10 Dec 2019, 19:08
The question says 300 mile trip and the rates are given for a 350. We have a clear overlap with no further info. Hence insufficient
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Re: What is the average speed for a 300 miles trip? (1) The average speed  [#permalink]

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New post 10 Dec 2019, 21:14
rohan2345 wrote:
What is the average speed for a 300 miles trip?

(1) The average speed for the first 150 miles is 60 miles per hour.

(2) The average speed for the last 200 miles is 75 miles per hour.

Average speed = total distance / total time

(1) Total time of the journey can not be calculated. Insufficient

(2) Total time can not be calculated. Insufficient

(1)+(2) total time to travel 300 miles can not be calculated. Insufficient

E is correct.
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Re: What is the average speed for a 300 miles trip? (1) The average speed  [#permalink]

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New post 12 Dec 2019, 19:04
What is the average speed for a 300 miles trip?
(1) The average speed for the first 150 miles is 60 miles per hour.
(2) The average speed for the last 200 miles is 75 miles per hour.

Answer:

Given: Distance=300 miles
What is the speed?

Solutions:
Since
1) Speed = Distance / time
2) Distance = 300 miles
Therefore, we can find the speed if we have the time

Statement 1:

Given: For the first 150 miles, the speed=60 mi/hr --> time=distance/speed=150/60 --> not sufficient

Statement 2:
Given: For the last 200 miles, the speed=75 mi/hr --> time=distance/speed=200/75 --> not sufficient

Taking the statements together:

Not sufficient because there is an overlap of 50 miles between statement 1 and 2

Answer: E
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Re: What is the average speed for a 300 miles trip? (1) The average speed  [#permalink]

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New post 13 Dec 2019, 20:06
Couldn't we simply deduce the average speed of the final 150 miles?

Here's my thinking:
The first 150 miles are 60mph;
the next 200 miles are 75mph;
therefore, the first 50 miles of the 200-mile segment is at 50mph, while the final 150 miles are at a speed, which can be calculated, greater than 75.
Please help!
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What is the average speed for a 300 miles trip? (1) The average speed  [#permalink]

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New post 16 Dec 2019, 10:53
Hi oliboy333,

The general rule when dealing with speeds(=Distance/Time) is:
[*] In General You Can Not Add the Speeds(Distance/Time).
But there are certain situations where this rule doesn't apply and in these situations you can add the speed:

These certain situation involve two moving subjects, starting at the same time and moving towards each other. If the questions asks about the meeting-point, then you can add the speeds because in this situations, you can think of the distance as a job that is being filled by the two subjects that are moving towards each other. Just like when you have two matching in a factory working together to fulfill a certain Job and in that case you can add the rate of the twos machines too.

As you can see, this question is not this type of situation where you can add speeds.

Hope this helps
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What is the average speed for a 300 miles trip? (1) The average speed   [#permalink] 16 Dec 2019, 10:53
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