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A frog is climbing a greasy pole. The frog can climb 2 centimeters eve
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17 May 2021, 09:01
17 May 2021, 09:01
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Question Stats:
38% (02:21) correct
61% (02:18) wrong based on 55 sessions
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A frog is climbing a greasy pole. The frog can climb 2 centimeters every half-hour and it takes a break to rest for half an hour after every 2 hours, during which it slips by 1 centimeter. How much time it will take to climb a 28 centimeter pole?
A) 7.5 hours
B) 8.5 hours
C) 9.25 hours
D) 9.75 hours
E) 10 hours
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A) 7.5 hours
B) 8.5 hours
C) 9.25 hours
D) 9.75 hours
E) 10 hours
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
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Re: A frog is climbing a greasy pole. The frog can climb 2 centimeters eve
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17 May 2021, 09:18
17 May 2021, 09:18
4
Carcass wrote:
A frog is climbing a greasy pole. The frog can climb 2 centimeters every half-hour and it takes a break to rest for half an hour after every 2 hours, during which it slips by 1 centimeter. How much time it will take to climb a 28 centimeter pole?
A) 7.5 hours
B) 8.5 hours
C) 9.25 hours
D) 9.75 hours
E) 10 hours
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A) 7.5 hours
B) 8.5 hours
C) 9.25 hours
D) 9.75 hours
E) 10 hours
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's solve this by making a table
Time elapsed | height
1 hours | 4 cm
2 hours | 8 cm
REST (slide)
2.5 hours | 7 cm
3.5 hours | 11 cm
4.5 hours | 15 cm
REST (slide)
5 hours | 14 cm
6 hours | 18 cm
7 hours | 22 cm
REST (slide)
7.5 hours | 21 cm
8.5 hours | 25 cm
9.5 hours | 29 cm
Oops - we want too far.
We can see that the frog reaches a height of 28 cm BETWEEN 8.5 hours and 9.5 hours.
So, the correct answer must be C
Cheers,
Brent
A frog is climbing a greasy pole. The frog can climb 2 centimeters eve
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11 Jul 2022, 02:28
11 Jul 2022, 02:28
The way I attempted to solve it.
Total distance = 28 cm
Rate = 2 cm per 0.5 hour = 4 cm per hour
Time to cover this distance: T = 28/4 = 7 hours
Now, the frog takes a break every couple of hours for half an hour which means, during these 7 hours, it must have taken 3 half-hour breaks that is 0.5*3 = 1.5 hours; and slipped back 1 cm during each break (3 cm for all three breaks).
Finally, to cover this 3 cm gap, the time taken will be: T = 3/4 = 0.75 hours
Adding all times together = 7 (time for given rate without break) + 1.5 (3 half-hour breaks) + 0.75 (time taken to cover gaps created during each break) = 9.25 hours
Total distance = 28 cm
Rate = 2 cm per 0.5 hour = 4 cm per hour
Time to cover this distance: T = 28/4 = 7 hours
Now, the frog takes a break every couple of hours for half an hour which means, during these 7 hours, it must have taken 3 half-hour breaks that is 0.5*3 = 1.5 hours; and slipped back 1 cm during each break (3 cm for all three breaks).
Finally, to cover this 3 cm gap, the time taken will be: T = 3/4 = 0.75 hours
Adding all times together = 7 (time for given rate without break) + 1.5 (3 half-hour breaks) + 0.75 (time taken to cover gaps created during each break) = 9.25 hours
