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Every floor of a 96 storey skyscraper is...

Every floor of a 96 storey skyscraper is 5m high. If a balloon rises 3 m every second, then how long will it take for the balloon to rise from 47th floor to 92nd floor?

A

140 secs

B

3 mins

C

2 mins

D

75 secs

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find out how long it will take for a balloon to rise from the 47th floor to the 92nd floor of a skyscraper where each floor is 5 meters high, and the balloon rises at a rate of 3 meters per second. ### Step-by-Step Solution: **Step 1: Calculate the height of the 47th floor and the 92nd floor.** - Each floor is 5 meters high. - Height of the 47th floor = 47 floors × 5 meters/floor = 235 meters. - Height of the 92nd floor = 92 floors × 5 meters/floor = 460 meters. **Step 2: Calculate the total height the balloon needs to rise.** - Height to rise = Height of 92nd floor - Height of 47th floor - Height to rise = 460 meters - 235 meters = 225 meters. **Step 3: Calculate the time taken to rise this height.** - The balloon rises at a rate of 3 meters per second. - Time taken = Height to rise / Rate of rise - Time taken = 225 meters / 3 meters/second = 75 seconds. ### Final Answer: The balloon will take **75 seconds** to rise from the 47th floor to the 92nd floor. ---
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