MATEMATIKA BILINGUAL SPESIAL FOR RSBI and SSN Class for Schoolarship

MATEMATIKA BILINGUAL Part 1

SPESIAL FOR RSBI and SSN Class for Schoolarship

Let's Try and View The Solution here

Question : 1    Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively
in opposite directions on parallel tracks. The time (in seconds) which they take to cross
each other, is:

1.     9

2.     9.6

3.     10

4.     10.8

View Answer and Explanation

Correct Answer :    D
Explanation :
Relative speed = (60 + 40) km/hr = (100 x 5/18) m/sec = (250/9) m/sec.

Distance covered in crossing each other = (140 + 160) m = 300 m.
Required time = 300 x (9/250) sec = (54/5) sec
= 10.8 sec.

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Question : 2    A 270 metres long train running at the speed of 120 kmph crosses another train running in
opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other
train?

1.     230 m

2.     240 m

3.     260 m

4.     320 m

View Answer and Explanation

Correct Answer :    A
Explanation :
Relative speed = (120 + 80) km/hr
= 200 x (5/18) m/sec
= 500/9 m/sec.
Let the length of the other train be x metres.
Then,
(x + 270)/9 = 500/9
x + 270 = 500
x = 230.

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Question : 3    A train passes a station platform in 36 seconds and a man standing on the platform in 20
seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

1.     120 m

2.     240 m

3.     300 m

4.     None of these

View Answer and Explanation

Correct Answer :    B
Explanation :
Speed = (54 x 5/18) m/sec = 15 m/sec.
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then,
(x + 300)/36 = 15
x + 300 = 540
x = 240 m.
6.

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Question : 4    A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine
of a 120 metres long train running at 45 kmph in the same direction. In how much time
will the train pass the jogger?

1.     3.6 sec

2.     18 sec

3.     36 sec

4.     72 sec

View Answer and Explanation

Correct Answer :    C
Explanation :
Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.
= 36 x (5/18) m/sec
= 10 m/sec.
Distance to be covered = (240 + 120) m = 360 m.
Time taken = 360/10 = 36 sec

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Question : 5    A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

1.     230 m

2.     240 m

3.     260 m

4.     270 m

View Answer and Explanation

Correct Answer :    D
Explanation :
Speed = 72 x (5/18) = 20 m/sec. Time = 26 sec. Let the length of the train be x metres. Then, (x + 250)/26 = 20
x + 250 = 520
x = 270