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# Tammy climbed a mountain in two days. She spent a total of 14 hours cl

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Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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28 Jul 2015, 11:18
1
7
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Difficulty:

65% (hard)

Question Stats:

67% (02:46) correct 33% (03:23) wrong based on 157 sessions

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Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6

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Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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Updated on: 29 Jul 2015, 00:43
3
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6

Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 3.5

now speed for 2nd day is 0.5 less than the 1st day which is 3.5
Thus speed for 2nd day = 4
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Originally posted by VenoMfTw on 28 Jul 2015, 12:37.
Last edited by VenoMfTw on 29 Jul 2015, 00:43, edited 1 time in total.
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Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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28 Jul 2015, 16:57
VenoMftw wrote:
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6

Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 4.5

now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4

Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.

8s+6s+3=52
14s=49
s=3.5

What am doing wrong. Driving me nuts.
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Joined: 16 Oct 2010
Posts: 9234
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Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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28 Jul 2015, 21:36
xLUCAJx wrote:
VenoMftw wrote:
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6

Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 4.5

now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4

Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.

8s+6s+3=52
14s=49
s=3.5

What am doing wrong. Driving me nuts.

You have assumed that speed on day 1 was s. So speed on day 2 will be s + 0.5. The options give you the speed on day 2.
You found s = 3.5 - correct
Now all you need to do is find s + 0.5 which is 4.

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Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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29 Jul 2015, 00:45
xLUCAJx wrote:
VenoMftw wrote:
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6

Ans: C

Total time = 14 hrs

Let time traveled during 1st day = x
Let time traveled during 2nd day = x-2
Total time =14
x+x-2 = 14
x=8

speed * time = distance

s*8 + (s+0.5)(8-2) = 52
solving s = 4.5

now speed for 2nd day is 0.5 less than the 1st day which is 4.5
Thus speed for 2nd day = 4

Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.

8s+6s+3=52
14s=49
s=3.5

What am doing wrong. Driving me nuts.

xLUCAJx

While typing i made a mistake.
Yes, it should be 3.5 not 4.5.
So, speed on second day is 3.5+0.5 = 4
_________________
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¯\_(ツ)_/¯
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Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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09 Jan 2017, 15:22
Drawing a diagram is helpful when attempting this problem:

Day 1 --> d = r x 8
Day 2 --> 52-d = (r+ 0.5) x 6

You can figure out the time allocated to each day by solving the following formula that can be created from the prompt for t --> t+t+2 = 14 --> t = 6. Plug value into each day based on what we know from the information provided in the prompt and you should have the same equation(s) listed above in the table.

To solve --> plug day 1 into day 2 --> 52-8r = 6r+3 --> 49 = 14r --> r = 3.5

Day 2's rate is r +0.5 --> 3.5 + 0.5 = 4

C.
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Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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09 Jan 2017, 20:06
reto wrote:
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many kilometers per hour did Tammy walk on the second day?

A. 3
B. 3.5
C. 4
D. 4.5
E. 6

let r=T's rate on 2nd day
8(r-1/2)+6r=52
r=4 kph
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Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl  [#permalink]

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17 Sep 2018, 05:23
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Re: Tammy climbed a mountain in two days. She spent a total of 14 hours cl   [#permalink] 17 Sep 2018, 05:23
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