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1.
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:  

2.
3.
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.  

4.
A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.  

5.
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:  

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
6.



7.



8.



9.



Answers
1.
Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed =  1200 x  3  km/hr  = 720 km/hr.  
5 
2.
Let speed of the car be x kmph.
Then, speed of the train =  150  x  =  3  x  kmph.  
100  2 
75  –  75  =  125  
x  (3/2)x  10 x 60 
75  –  50  =  5  
x  x  24 
x =  25 x24  = 120 kmph.  
5 
3.
(1/2)x  +  (1/2)x  = 10 
21  24 
x  +  x  = 20  
21  24 
15x = 168 x 20
x =  168 x 20  = 224 km.  
15 
4.
Time taken = 1 hr 40 min 48 sec = 1 hr 40  4  min = 1  51  hrs =  126  hrs. 
5  75  75 
Let the actual speed be x km/hr.
Then,  5  x x  126  = 42 
7  75 
x =  42 x 7 x 75  = 35 km/hr.  
5 x 126 
5.
Let the speed of the train be x km/hr and that of the car be y km/hr.
Then,  120  +  480  = 8  1  +  4  =  1  ….(i) 
x  y  x  y  15 
And,  200  +  400  =  25  1  +  2  =  1  ….(ii)  
x  y  3  x  y  24 
Solving (i) and (ii), we get: x = 60 and y = 80.
Ratio of speeds = 60 : 80 = 3 : 4
6.
Since ratio of speed of X : Y is 3 : 4, then ratio of time will be 4 : 3.
I. If Y takes 3 min, then X takes 4 min.
II. If Y takes 36 min, then X takes  4  x 36  min  = 48 min.  
3 
Thus, I and II together give the answer.
Correct answer is (E)
7.
I. AB = 125% of CB
100 =  125  x (100 – x) 
100 
100 – x =  100 x 100  = 80 
125 
x = 20 km.
AC = 20 km.
Thus, I alone gives the answer.
II. AC =  1  CB 
4 
x =  1  (100 – x) 
4 
5x = 100
x = 20.
AC = 20 km.
Thus, II alone gives the answer.
Correct answer is (C).
8.
Let the distance between the two stations be x km.
I. Then, speed of the mail train = (y + 12) km/hr.
II.  x  –  x  =  40  . 
y  (y + 12)  60 
Thus, even I and II together do not give x.
Correct answer is (D)
9.
I gives, relative speed = 135 km/hr.
Time taken =  500  hrs. 
135 
II does not give the relative speed.
I alone gives the answer and II is irrelevant.
Correct answer is (A).
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