Q: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 24 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 61.25
(B) 62.5
(C) 63.75
(D) 70.0
(E) 77.5
A: OK... Stream of consciousness: Rate of flow of water in second hour = 24 gallons per hour
Rate of flow of water in first hour = 24/(3/2) = 16 gallons per hour
Rate of flow of water in third hour = (125/100)* 24 = (5/4) * 24 = 30 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 16+24+30 = 70 gallons
The answer is (D).

Q: If 4 men can color 48 m long cloth in 2 days, then 6 men can color 36 m long cloth in
Options:
(A) 2 days
(B) 1 day
(C) 3 days
(D) 4 days
(E) 5 days
A: OK... Stream of consciousness: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
The answer is (B).

Q: How long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?
Options:
(A) 15
(B) 17
(C) 15
(D) 16
(E) 18
A: OK... Stream of consciousness: D = 200 + 200 = 400 m
S = 80 * 5/18 = 200/9
T = 400 * 9/200 = 18 sec
The answer is (E).

Q: Find the mean proportional between 64 & 81?
Options:
(A) A) 59
(B) B) 61
(C) C) 63
(D) D) 72
(E) E) 67
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
OK... Stream of consciousness: Formula = √a×b
A = 64 and B = 81
√64×81 = 8 × 9 = 72
The answer is (D).