3
Q:

# A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

 A) 75 seconds B) 90 seconds C) 105 seconds D) 135 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds

Q:

The distance between two places A and B is 245 km. TWo cars, one from A and the other from B, start at the same time, travelling towards each other. If one car travels at a speed of 40 km/h and the other at 30 km/h , after how many hours will they meet?

 A) 234 hours B) 3 hours C) 312  hours D) 2 hours

Explanation:

0 2
Q:

Mehek goes for a stroll from her home. She starts walking facing the Sun at 6:00 am in the morning and walks 1 km straight. At a crossroads, she takes a right turn and then walks 1 km. Finally, she takes a U- turn and walks again for 1 km. How far is she from her home?

 A) 3 km B) 1 km C) 2 km D) 4 km

Explanation:

1 40
Q:

Jayant covers a certain distance in $212$ hours at a speed of 54 km/h . How much time will Prabhu take to cover the same distance at a speed of 72 km/h ?

 A) 212hours B) 3hours C) 215hours D) 178hours

Explanation:

0 39
Q:

A student takes 1.25 hours to travel from home to school at a speed of 4 km/h. By what percentage should he increase his speed to reduce the time by 25% to cover the same distance from school to home?

 A) 3313°° B) 50°° C) 45°° D) 25°°

Explanation:

0 33
Q:

Two cyclists X and Y start at the same time from place A and go towards place B at a speed of 6 km/h and 8 km/h,respectively. Despite stopping for 15 minutes during the journey, Y reaches 10 minutes earlier than X. The distance between the places A and B is:

 A) 6 km B) 16.5 km C) 8 km D) 10km

Explanation:

0 446
Q:

A train crosses a platform 180 m long in 60 sec at a speed of 72 km/h. The time taken by the train to cross an electric pole is:

 A) 51 sec B) 0.51 min C) 5.1 sec D) 5.1 min

Explanation:

1 185
Q:

An express train moves with a speed of 144 km/hr. Calculate the distance covered by train in 15 minutes.

 A) 35 km B) 32 km C) 33 km D) 36 km

Explanation:

0 195
Q:

Rahim started a journey 15 minutes late, and as a result, had to drive at a speed of 54 km/h instead of 45 km/h to reach his destination on time. What is the distance covered during the course of the journey?

 A) 90 km B) 67.5 km C) 13.5 km D) 75.5 km

Explanation: