A multistory building has 38 floors above the ground level each of height 7m. It also has 4 floors in the basement each of height 6m. A lift in building moves at a rate of 2m/sec. If a man starts from 170m above the ground, how long will it take him to reach at 3 floor of basement?
(A) 1 minute 34 seconds
(B) 1 minute 24 seconds
(C) 1 minute 38 seconds
(D)1 minute 20 seconds
(E) None of these
Answers
Answer:
Option B) 1 minute 24 seconds is the correct answer
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Question :
A multistory building has 38 floors above the ground level each of height 7m. It also has 4 floors in the basement each of height 6m. A lift in building moves at a rate of 2m/sec. If a man starts from 170m above the ground, how long will it take him to reach at 3 floor of basement?
To find :
Time taken by him to reach at 3 floor of basement?
Solution :
Each floor has a height of 6m and basement of 4 floors.
If a man starts from 170m above the ground and 3rd floor of basement
So,
Distance travelled above the ground → 170m
Distance below basement → 3 × 6 = 18m
Total distance covered = 170m + 18m → 188m
Rate of moving of lift = 2m/sec
It means that it will travel 2m in 1 sec
So for 1m it will take = 1/2 sec
So time taken to reach 188m = 188 × 1/2 → 94 seconds
∴ Time taken by the man to reach the 3rd floor of the basement is 94 seconds
So by converting into mins we get
60 sec = 1min
94 sec = 1 minute 34 seconds
So the time taken is 1 min 34 sec
So option A is correct