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Q #16
:

Directions: Read the following information to answer the question.

Three clocks in train station give following reading

Clock A: 8:00 clock

Clock B: 8:50 clock

Clock C: 8:20 clock

One clock is 20 min. fast. One clock is slow. One clock is off

by half an hour. Which of the following can be the real time?



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+

8:00 (real time 7:40)

8:50 (no good would be fast)

8:20 (no good-real time would have to be 7:50 or 8:50)

8:00 (real time 7:40)

8:20 (no good would be fast)

8:50 (no good-real time would have to be 8:20 or 9:20)

8:50 (real time 8:30)

8:00 (ok would be slow)

8:20 (no good-real time would have to be 7:50 or 8:50)

8:50 (real time 8:30)

8:20 (ok would be slow)

8:00 (ok real time would have to be 7:30 or 8:30)

So, real time is 8:30.


Q #17
:

Directions: Read the following information to answer the question.

A person travels 285 km in 6 hrs in two stages. In the first part of the journey, he travels by bus at the speed of 40 km per hr. In the second part of the journey, he travels by train at the speed of 55 km per hr. How much distance did he travel by train?

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Let, time taken by bus in the journey = t hours

 

Then, time taken by train in the journey = (6 – t) hours now,

 

40 × t + 55 (6 – t) = 285 40t + 330 – 55t = 285

 

15x = 45   ∴ x = 3

 

Hence, distance travel by train = 3 × 55 = 165


Q #18
:

Directions: Read the following information to answer the question.

Two persons are walking in the same direction at rates 3 km/ hr and 6 km/hr. A train comes running from behind and passes them in 9 and 10 seconds. The speed of the train is

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+

Let, speed of train = x km/hr 

 

Relative speed while crossing 1st person = 5 ( x 3) 18

 

Distance = length of train = 5 ( x 3)× 9 ··· (I) 18

Relative speed while crossing 2nd person

 

= 5 ( x − 6) 18

 

Distance = length of train =

5

( x − 6)×10

···(II)

 
   
   

18

     

From equation (I) & (II) we get

     
 

5

( x − 3)× 9 =

5

( x − 6)×10

or  9x – 27 = 10x – 60

 

18

   

18

         

x = 33 km/hr



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