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A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building.
Verified Answer
A person was climbing on a building. He slips 1m for every 5 metre he ...
Man slips 1 m for every 5 m he climbs ⇒ he climbs 4 mTime taken to climb 4 m = 5 x 5 = 25 secTime taken to climb 1 m = 25/4 secTotal height of the building = 53 mTime taken to climb the building = 53 x 25/4 = 331.25 sec = 5.5 min (approx)
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A person was climbing on a building. He slips 1m for every 5 metre he ...
Problem Analysis:
We are given that the person slips 1m for every 5 meters he climbs up. This means that for every 5 meters the person climbs, he actually only gains 4 meters. We are also given that the building is 53m high. We need to find the total time taken by the person to reach the top of the building.
Solution:
To solve this problem, we can use the concept of relative speed. The person is climbing at a speed of 1 meter per 5 seconds. Let's calculate the time taken by the person to climb 1 meter.
Time taken to climb 1 meter:
Given that the person takes 5 seconds to climb 1 meter, we can calculate the time taken to climb 1 meter as follows:
Time taken to climb 1 meter = 5 seconds
Time taken to climb 4 meters:
Since the person slips 1 meter for every 5 meters climbed, we can calculate the time taken to climb 4 meters as follows:
Time taken to climb 4 meters = 4 * Time taken to climb 1 meter = 4 * 5 seconds = 20 seconds
Total time taken to climb 53 meters:
Now, we need to calculate the total time taken by the person to climb 53 meters. We can divide the total height of the building (53 meters) into multiple segments of 4 meters each and calculate the time taken for each segment. Finally, we can add up all the individual times to get the total time taken.
Number of 4-meter segments = 53 meters / 4 meters = 13.25 segments (rounded to the nearest integer)
Time taken for climbing each 4-meter segment:
Now, we can calculate the time taken for each 4-meter segment as follows:
Time taken for each 4-meter segment = Time taken to climb 4 meters = 20 seconds
Total time taken to climb 53 meters:
Finally, we can calculate the total time taken to climb 53 meters by adding up the time taken for each 4-meter segment:
Total time taken = Number of 4-meter segments * Time taken for each 4-meter segment
Total time taken = 13 * 20 seconds = 260 seconds
Therefore, the person takes a total of 260 seconds to climb to the top of the building.
We are given that the person slips 1m for every 5 meters he climbs up. This means that for every 5 meters the person climbs, he actually only gains 4 meters. We are also given that the building is 53m high. We need to find the total time taken by the person to reach the top of the building.
Solution:
To solve this problem, we can use the concept of relative speed. The person is climbing at a speed of 1 meter per 5 seconds. Let's calculate the time taken by the person to climb 1 meter.
Time taken to climb 1 meter:
Given that the person takes 5 seconds to climb 1 meter, we can calculate the time taken to climb 1 meter as follows:
Time taken to climb 1 meter = 5 seconds
Time taken to climb 4 meters:
Since the person slips 1 meter for every 5 meters climbed, we can calculate the time taken to climb 4 meters as follows:
Time taken to climb 4 meters = 4 * Time taken to climb 1 meter = 4 * 5 seconds = 20 seconds
Total time taken to climb 53 meters:
Now, we need to calculate the total time taken by the person to climb 53 meters. We can divide the total height of the building (53 meters) into multiple segments of 4 meters each and calculate the time taken for each segment. Finally, we can add up all the individual times to get the total time taken.
Number of 4-meter segments = 53 meters / 4 meters = 13.25 segments (rounded to the nearest integer)
Time taken for climbing each 4-meter segment:
Now, we can calculate the time taken for each 4-meter segment as follows:
Time taken for each 4-meter segment = Time taken to climb 4 meters = 20 seconds
Total time taken to climb 53 meters:
Finally, we can calculate the total time taken to climb 53 meters by adding up the time taken for each 4-meter segment:
Total time taken = Number of 4-meter segments * Time taken for each 4-meter segment
Total time taken = 13 * 20 seconds = 260 seconds
Therefore, the person takes a total of 260 seconds to climb to the top of the building.
Community Answer
A person was climbing on a building. He slips 1m for every 5 metre he ...
5.5 min
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A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building.
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A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building. for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building. covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building..
A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building. for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building. covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person was climbing on a building. He slips 1m for every 5 metre he climbs up. If the building is 53 m high and he takes 5 seconds to climb 1metre, find the total time taken by him to get on the top of the building..
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