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# On a trip covering 360 miles, a bicyclist travels the first 150 miles

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Math Expert
Joined: 02 Sep 2009
Posts: 59095
On a trip covering 360 miles, a bicyclist travels the first 150 miles  [#permalink]

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22 Oct 2019, 23:27
00:00

Difficulty:

15% (low)

Question Stats:

85% (02:04) correct 15% (02:06) wrong based on 52 sessions

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On a trip covering 360 miles, a bicyclist travels the first 150 miles at 30 mile per hour and the remainder of the distance at 35 miles per hour. What is the average speed, in miles per hour, for the entire trip?

A. 28
B. 32 1⁄2
C. 32 8⁄11
D. 46 4⁄11
E. 65

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Re: On a trip covering 360 miles, a bicyclist travels the first 150 miles  [#permalink]

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23 Oct 2019, 00:36
Bunuel wrote:
On a trip covering 360 miles, a bicyclist travels the first 150 miles at 30 mile per hour and the remainder of the distance at 35 miles per hour. What is the average speed, in miles per hour, for the entire trip?

A. 28
B. 32 1⁄2
C. 32 8⁄11
D. 46 4⁄11
E. 65

Speed = D/T

Total distance = 360

we need to find out total time .

Time for 150 : 150 / 30 = 5

Time for 210 = 210/ 35 = 6

Total time = 5 + 6 = 11 hrs .

Speed = 360 / 11 = 32 (8/110

C is the best option .
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Re: On a trip covering 360 miles, a bicyclist travels the first 150 miles  [#permalink]

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23 Oct 2019, 11:36
Bunuel wrote:
On a trip covering 360 miles, a bicyclist travels the first 150 miles at 30 mile per hour and the remainder of the distance at 35 miles per hour. What is the average speed, in miles per hour, for the entire trip?

A. 28
B. 32 1⁄2
C. 32 8⁄11
D. 46 4⁄11
E. 65

Total Time Taken = $$\frac{150}{30} + \frac{210}{35}$$

Total Time Taken = $$5 + 6$$

So, Average Speed is 360/11 => 32 8⁄11, Answer must be (C)
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Re: On a trip covering 360 miles, a bicyclist travels the first 150 miles  [#permalink]

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27 Oct 2019, 19:50
Bunuel wrote:
On a trip covering 360 miles, a bicyclist travels the first 150 miles at 30 mile per hour and the remainder of the distance at 35 miles per hour. What is the average speed, in miles per hour, for the entire trip?

A. 28
B. 32 1⁄2
C. 32 8⁄11
D. 46 4⁄11
E. 65

We can use the formula:

average speed = (total distance)/(total time)

average speed = 360/(150/30 + 210/35)

average speed = 360/(5 + 6)

average speed = 360/11 = 32 8/11

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Re: On a trip covering 360 miles, a bicyclist travels the first 150 miles   [#permalink] 27 Oct 2019, 19:50
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