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16 Sep 2014, 00:25
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B
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Difficulty:
75%
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Question Stats:
58% (02:21) correct
42%
(02:50)
wrong
based on 699
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Two hikers simultaneously start walking towards each other from Kensington, MD and Reston, VA, which are 30 km apart. Both hikers walk at a constant speed of 5 km/hour each. At the same time, a fly takes off from Kensington and flies towards the Reston hiker at a speed of 10 km/hour. When the fly reaches the Reston hiker, it immediately turns around and flies back to the Kensington hiker, and it continues to do so until the hikers meet. At the moment when the hikers meet, the fly lands on the shoulder of the Kensington hiker. How many kilometers has the fly flown in total?
A. 25
B. 30
C. 37.5
D. 45
E. 60
A. 25
B. 30
C. 37.5
D. 45
E. 60
16 Sep 2014, 00:25
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Official Solution:
Two hikers simultaneously start walking towards each other from Kensington, MD and Reston, VA, which are 30 km apart. Both hikers walk at a constant speed of 5 km/hour each. At the same time, a fly takes off from Kensington and flies towards the Reston hiker at a speed of 10 km/hour. When the fly reaches the Reston hiker, it immediately turns around and flies back to the Kensington hiker, and it continues to do so until the hikers meet. At the moment when the hikers meet, the fly lands on the shoulder of the Kensington hiker. How many kilometers has the fly flown in total?
A. 25
B. 30
C. 37.5
D. 45
E. 60
To calculate how long the fly was flying, we first determine the time it takes for the hikers to meet. Since the hikers are walking towards each other at a speed of 5 km/hour each, their combined speed is 10 km/hour. Therefore, they will meet after \(\frac{30}{10}=3\) hours.
This means that the fly was flying for 3 hours at a speed of 10 km/hour, covering a distance of 30 km.
Answer: B
Two hikers simultaneously start walking towards each other from Kensington, MD and Reston, VA, which are 30 km apart. Both hikers walk at a constant speed of 5 km/hour each. At the same time, a fly takes off from Kensington and flies towards the Reston hiker at a speed of 10 km/hour. When the fly reaches the Reston hiker, it immediately turns around and flies back to the Kensington hiker, and it continues to do so until the hikers meet. At the moment when the hikers meet, the fly lands on the shoulder of the Kensington hiker. How many kilometers has the fly flown in total?
A. 25
B. 30
C. 37.5
D. 45
E. 60
To calculate how long the fly was flying, we first determine the time it takes for the hikers to meet. Since the hikers are walking towards each other at a speed of 5 km/hour each, their combined speed is 10 km/hour. Therefore, they will meet after \(\frac{30}{10}=3\) hours.
This means that the fly was flying for 3 hours at a speed of 10 km/hour, covering a distance of 30 km.
Answer: B
Raunak_Bhatia
25 Dec 2016, 14:44
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Damn!!! I feel so stupid seeing this solution, (I literally was calculating to and fro distance covered by the fly) Sometimes it just doesn't strike you in the test environment.
