Sawaal
34
Q:

A train with 120 wagons crosses Arun who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the Arun ( he is riding on the horse) before it starts overtaking the Sriram( who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in seconds) after the train has crossed the Sriram do the Arun meets to Sriram?

A) 3560 sec B) 3600 sec
C) 3576 sec D) can't be determined

Answer:   C) 3576 sec



Explanation:

Let the length of the train be L metres and speeds of the train Arun and Sriram be R, A and S respectively, then 

       LR-A=36 ---------- (i) 

and LR+K=24 ---------(ii)

 

From eq.(i) and (ii)

              3(R - A ) = 2 (R + K) 

⇒  R = 3A + 2K 

 

In 30 minutes (i.e 1800 seconds), the train covers 1800R (distance) but the Arun also covers 1800 A (distance) in the same time. Therefore distance between Arun and Sriram, when the train has just crossed Sriram

               = 1800 ( R - A) - 24 ( A + K)

 

 Time required = 1800(R-A)-24(A+K)(A+K)

 

= (3600 - 24) = 3576 s                            

Subject: Time and Distance
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A) 19 km B) 15 km
C) 12 km D) 20 km
 
Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

 

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

 

 

Using formula,

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(D/3) + (D/6) = 5

 

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Car B is running twice as fast as car A. If car A covers a distance of 90 km in 1 1/2 hrs, what is the speed of car B?

A) 60 kmph B) 90 kmph
C) 100 kmph D) 120 kmph
 
Answer & Explanation Answer: D) 120 kmph

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A person driving at the speed of 45 kmph reaches office 1 minute early while she reaches 3 minutes late if driving 40 kmoh. What is the distance (in Km) that she is covering?

 

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Then,

⇒ D/40 – D/45 = 1/15

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⇒ D = 24 km

∴ Distance covered by person is 24 km.

 

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Rahul nd Raghav are 110 km apart from each other and they started horse-riding towards each other at same time at a speed of 20 kmph and 24 kmph. After how many hours of riding will they be a distance of 22 km?

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C) 2 hours D) 2 hours 30 min
 
Answer & Explanation Answer: C) 2 hours

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A boy walking at the speed of 4 km/hr covers a certain distance in 6 hours 15 minutes. If he covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of the cycle?

 

 

A) 4.5 B) 5  
C) 6   D) 6.5
 
Answer & Explanation Answer: B) 5  

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A man starts walking at 6.30 a.m. and wants to cover a distance of 30km. His initial speed is 6 kmph and after covering three-fifth distance, he reduces his speed by 2 kmph. At what time will he complete his walk?

A) 11.00 am B) 12.30 pm
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Answer & Explanation Answer: B) 12.30 pm

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Diameter of a car wheel is 21 cm. A car driver moving at the speed of 66 km/hr takes 36 seconds to reach a destination. How many revolutions will the wheel make during the journey?

 

 

A) 1800   B) 1500
C) 1200   D) 1000
 
Answer & Explanation Answer: D) 1000

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