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Q:

If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon?

A) 14 kmph B) 13 kmph
C) 12 kmph D) 11 kmph

Answer:   C) 12 kmph



Explanation:

The distance is constant in this case.

Let the time taken for travel with a speed of 10 kmph be 't'.

Now the speed of 15 kmph is 3/2 times the speed of 10 kmph.

Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time)

Extra time taken = t - 2t/3 = t/3

=> 1pm - 11am = 2hrs

=> t/3 = 2h

=> t = 6 hrs.

Now, Distance = speed x time = 10 x 6 = 60 kms

Time he takes to reach at noon = 6 - 1 = 5 hrs

Now, Speed = 60/5 = 12 kmph.

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
 
Answer & Explanation Answer: C) 312  hours

Explanation:
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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
 
Answer & Explanation Answer: B) 1 km

Explanation:
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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
 
Answer & Explanation Answer: D) 178hours

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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°°
 
Answer & Explanation Answer: A) 3313°°

Explanation:
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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
 
Answer & Explanation Answer: D) 10km

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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
 
Answer & Explanation Answer: A) 51 sec

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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
 
Answer & Explanation Answer: D) 36 km

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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
 
Answer & Explanation Answer: B) 67.5 km

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