Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction? [#1132]
Q1. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction? Q1. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction?
(A) 120 sec (A) 120 sec
(B) 100 sec (B) 100 sec
(C) 60 sec (C) 60 sec
(D) 50 sec (D) 50 sec
Answer: (D) 50 sec Answer: (D) 50 sec
The difference of speed = 22m/s - 20m/s = 2m/s
As the train with speed 22m/s will cross the other, hence this train have to go the smallest length of the trains distance ahead of the other to cross completely.
Hence This train will be ahead of 100m with a speed of 2m/s.
Hence The time to cross each other will take = 100m / (2m/s)
= 50 secThe difference of speed = 22m/s - 20m/s = 2m/s
As the train with speed 22m/s will cross the other, hence this train have to go the smallest length of the trains distance ahead of the other to cross completely.
Hence This train will be ahead of 100m with a speed of 2m/s.
Hence The time to cross each other will take = 100m / (2m/s)
= 50 sec
Q1. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are Q1. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q3. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is Q3. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is
Q4. A hostel has 120 students and food supplies are for 45 days. If 30 more students joined the hostel, then how many days the hostel will run with the existing food? Q4. A hostel has 120 students and food supplies are for 45 days. If 30 more students joined the hostel, then how many days the hostel will run with the existing food?
Q5. p, q, r are three numbers such that the LCM of p and q is q and the LCM of q and r is r. The LCM of p, q and r will be Q5. p, q, r are three numbers such that the LCM of p and q is q and the LCM of q and r is r. The LCM of p, q and r will be
(A) q (A) q
(B) r (B) r
(C) qr (C) qr
(D) pqr (D) pqr
Answer: (B) r Answer: (B) r
LCM will be r.
px= q and qy = r, hence r = pxy.LCM will be r.
px= q and qy = r, hence r = pxy.
An equilateral triangle is a triangle with three equal sides and angles, a regular polygon with three sides.An equilateral triangle is a triangle with three equal sides and angles, a regular polygon with three sides.
Q7. What is the term for a angle greater than 90 degrees but less than 180 degrees? Q7. What is the term for a angle greater than 90 degrees but less than 180 degrees?
(A) Acute angle (A) Acute angle
(B) Right angle (B) Right angle
(C) Obtuse angle (C) Obtuse angle
(D) Straight angle (D) Straight angle
Answer: (C) Obtuse angle Answer: (C) Obtuse angle
An obtuse angle is an angle greater than 90 degrees but less than 180 degrees, like the angle formed by two walls that meet at a corner.An obtuse angle is an angle greater than 90 degrees but less than 180 degrees, like the angle formed by two walls that meet at a corner.
Q8. What is the term for the point where two or more lines intersect? Q8. What is the term for the point where two or more lines intersect?
(A) Vertex (A) Vertex
(B) Edge (B) Edge
(C) Face (C) Face
(D) Intersection (D) Intersection
Answer: (A) Vertex Answer: (A) Vertex
In geometry, a vertex (plural: vertices) is the point where two or more lines, rays, or edges meet, like the corner of a triangle or the point where two streets intersect.In geometry, a vertex (plural: vertices) is the point where two or more lines, rays, or edges meet, like the corner of a triangle or the point where two streets intersect.
Q9. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is Q9. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
