q: In what time will a bus 200 m long cross in the road, if its speed be 72 km/hr?
Options:
(A) 15
(B) 20
(C) 14
(D) 10
(E) 12
a: Stream of consciousness: Speed = 72 * 5/18 = 20 m/sec
Time taken = 200/20 = 10 sec. The answer is (D).
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q: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4 miles per hour and Train B runs at a rate of 6 miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?
Options:
(A) 3
(B) 6
(C) 9
(D) 18
(E) 22
a: Stream of consciousness: The trains will travel the perimeter of the circle which is 12 miles. The relative speed of the trains is 2 miles per hour. Time taken to meet = 12/2 = 6 hours The answer is (B).
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q: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
a:
Stream of consciousness: No of people from 10 - 11 is x
No of people from 11 - 12 is 4x/5
No of people from 12 to 1 is (13/10)(4x/5)
Given that 4x/5 + (13/10)(4x/5) = 92x/50 = 92
Then x = 50 The answer is (E).
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