A person walks on the building.He slips 1m for every 5m he climbs. If the building is 53m high and he takes 5 seconds to climb 1m. Find the total time taken by him to get on the top of the building.
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To find the total time taken by the person to reach the top of the building, we need to calculate the time taken for each section of the climb separately and then add them together.
Let's break down the climb into sections:
1. Distance covered by slipping: For every 5m climbed, the person slips back 1m. So, the total distance covered by slipping is equal to (53m - 1m).
Total distance covered by slipping = 52m
2. Remaining distance to be climbed: The person slips 1m for every 5m climbed, which means for every 6m climbed, he covers a net distance of 5m. So, the remaining distance to be climbed is equal to the remainder of (52m / 6m) multiplied by 5m.
Remaining distance = (52m % 6m) * 5m
3. Time taken to climb 1m: Given, the person takes 5 seconds to climb 1m.
With these values, we can calculate the time taken for each section:
Time taken for slipping = (52m / 5m) * 5 seconds
Time taken for remaining distance = (52m % 6m) * 5m / 5m * 5 seconds
Total time taken = Time taken for slipping + Time taken for remaining distance
Now, let's calculate the values step by step:
Calculating the time taken for slipping:
Time taken for slipping = (52m / 5m) * 5 seconds
= 52m / 5m * 5 seconds
= 52/5 * 5 seconds
= 52 seconds
Calculating the time taken for the remaining distance:
Remaining distance = (52m % 6m) * 5m / 5m
= 4m * 5m / 5m
= 4m
Time taken for the remaining distance = 4m * 5 seconds = 20 seconds
Calculating the total time taken:
Total time taken = Time taken for slipping + Time taken for remaining distance
= 52 seconds + 20 seconds
= 72 seconds
Therefore, the total time taken by the person to reach the top of the building is 72 seconds.