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# A honey bee flies for 10 seconds, from a daisy to a rose. It immediate

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
A honey bee flies for 10 seconds, from a daisy to a rose. It immediate  [#permalink]

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13 Sep 2016, 01:02
00:00

Difficulty:

45% (medium)

Question Stats:

66% (02:47) correct 34% (03:03) wrong based on 118 sessions

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A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 2 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?

A. 4
B. 5
C. 6
D. 8
E. 10

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Joined: 05 Jun 2015
Posts: 82
Location: United States
WE: Engineering (Transportation)
Re: A honey bee flies for 10 seconds, from a daisy to a rose. It immediate  [#permalink]

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13 Sep 2016, 02:47
Diasy -> Rose
let speed be v, distance is d+2 (2 more then that between Rose and Poppy), time taken is 10 sec.
$$d+3 = 10 *v$$

Rose -> Poppy
Distance is d, speed is v+3 , time taken is 6 sec.
$$d = 6 * (v+3)$$

Solving two eqyations
$$d-6v = 18$$
$$d-10v = -2$$

we have v = 5

Option B
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Re: A honey bee flies for 10 seconds, from a daisy to a rose. It immediate  [#permalink]

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13 Sep 2016, 03:29
Let the speed be 's' and let the distance between rose and poppy be 'x'
The problem boils down to:
Rose to Poppy: s+3=x/6 ------- 1
Daisy to Rose: s=(x+2)/10------ 2

so from 1 we can re write x as x=6s+18
substitute the value of x in 2 gives us s=5 m/s
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Re: A honey bee flies for 10 seconds, from a daisy to a rose. It immediate  [#permalink]

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14 Sep 2016, 06:01
1
From Daisy to Rose : D + 2 = 10R => D = 10R - 2
From Rose to Poppy: D = 6 ( R + 3 )

6 ( R + 3 ) = 10R - 2
6R + 18 = 10R - 2
18 + 2 = 10R - 6R
20 = 4R
5 = R
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Re: A honey bee flies for 10 seconds, from a daisy to a rose. It immediate  [#permalink]

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15 Apr 2018, 15:18
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Re: A honey bee flies for 10 seconds, from a daisy to a rose. It immediate   [#permalink] 15 Apr 2018, 15:18
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