Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4338)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 A car takes 2 hours to cover a particular distance at a uniform speed of 57 kmhr. How long will it take to cover the same distance at a uniform speed of 40 kmhr

hrs


Answer:_______________




2)  

 A car takes 4 hours to cover a particular distance at a uniform speed of 55 kmhr. How long will it take to cover the same distance at a uniform speed of 37 kmhr

hrs


Answer:_______________




3)  

 A car takes 6 hours to cover a particular distance at a uniform speed of 56 kmhr. How long will it take to cover the same distance at a uniform speed of 30 kmhr

hrs


Answer:_______________




4)  

 A car takes 5 hours to cover a particular distance at a uniform speed of 55 kmhr. How long will it take to cover the same distance at a uniform speed of 35 kmhr

hrs


Answer:_______________




5)  

 A car takes 5 hours to cover a particular distance at a uniform speed of 55 kmhr. How long will it take to cover the same distance at a uniform speed of 40 kmhr

hrs


Answer:_______________




6)  

 A car takes 2 hours to cover a particular distance at a uniform speed of 52 kmhr. How long will it take to cover the same distance at a uniform speed of 39 kmhr

hrs


Answer:_______________




7)  

 A car takes 4 hours to cover a particular distance at a uniform speed of 60 kmhr. How long will it take to cover the same distance at a uniform speed of 40 kmhr

hrs


Answer:_______________




8)  

 A car takes 6 hours to cover a particular distance at a uniform speed of 59 kmhr. How long will it take to cover the same distance at a uniform speed of 34 kmhr

hrs


Answer:_______________




9)  

 A car takes 6 hours to cover a particular distance at a uniform speed of 54 kmhr. How long will it take to cover the same distance at a uniform speed of 34 kmhr

hrs


Answer:_______________




10)  

 A car takes 2 hours to cover a particular distance at a uniform speed of 52 kmhr. How long will it take to cover the same distance at a uniform speed of 35 kmhr

hrs


Answer:_______________




 

1)  

 A car takes 2 hours to cover a particular distance at a uniform speed of 57 kmhr. How long will it take to cover the same distance at a uniform speed of 40 kmhr

Answer: 3 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      2(y)     57(x)
      (a)    40

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        57 x 2 =  40 x a

        (57 x 2)/ 40 = a

        11440             =  a

        3 hrs             =   a 



2)  

 A car takes 4 hours to cover a particular distance at a uniform speed of 55 kmhr. How long will it take to cover the same distance at a uniform speed of 37 kmhr

Answer: 6 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      4(y)     55(x)
      (a)    37

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        55 x 4 =  37 x a

        (55 x 4)/ 37 = a

        22037             =  a

        6 hrs             =   a 



3)  

 A car takes 6 hours to cover a particular distance at a uniform speed of 56 kmhr. How long will it take to cover the same distance at a uniform speed of 30 kmhr

Answer: 11 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      6(y)     56(x)
      (a)    30

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        56 x 6 =  30 x a

        (56 x 6)/ 30 = a

        33630             =  a

        11 hrs             =   a 



4)  

 A car takes 5 hours to cover a particular distance at a uniform speed of 55 kmhr. How long will it take to cover the same distance at a uniform speed of 35 kmhr

Answer: 8 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      5(y)     55(x)
      (a)    35

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        55 x 5 =  35 x a

        (55 x 5)/ 35 = a

        27535             =  a

        8 hrs             =   a 



5)  

 A car takes 5 hours to cover a particular distance at a uniform speed of 55 kmhr. How long will it take to cover the same distance at a uniform speed of 40 kmhr

Answer: 7 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      5(y)     55(x)
      (a)    40

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        55 x 5 =  40 x a

        (55 x 5)/ 40 = a

        27540             =  a

        7 hrs             =   a 



6)  

 A car takes 2 hours to cover a particular distance at a uniform speed of 52 kmhr. How long will it take to cover the same distance at a uniform speed of 39 kmhr

Answer: 3 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      2(y)     52(x)
      (a)    39

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        52 x 2 =  39 x a

        (52 x 2)/ 39 = a

        10439             =  a

        3 hrs             =   a 



7)  

 A car takes 4 hours to cover a particular distance at a uniform speed of 60 kmhr. How long will it take to cover the same distance at a uniform speed of 40 kmhr

Answer: 6 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      4(y)     60(x)
      (a)    40

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        60 x 4 =  40 x a

        (60 x 4)/ 40 = a

        24040             =  a

        6 hrs             =   a 



8)  

 A car takes 6 hours to cover a particular distance at a uniform speed of 59 kmhr. How long will it take to cover the same distance at a uniform speed of 34 kmhr

Answer: 10 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      6(y)     59(x)
      (a)    34

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        59 x 6 =  34 x a

        (59 x 6)/ 34 = a

        35434             =  a

        10 hrs             =   a 



9)  

 A car takes 6 hours to cover a particular distance at a uniform speed of 54 kmhr. How long will it take to cover the same distance at a uniform speed of 34 kmhr

Answer: 10 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      6(y)     54(x)
      (a)    34

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        54 x 6 =  34 x a

        (54 x 6)/ 34 = a

        32434             =  a

        10 hrs             =   a 



10)  

 A car takes 2 hours to cover a particular distance at a uniform speed of 52 kmhr. How long will it take to cover the same distance at a uniform speed of 35 kmhr

Answer: 3 hrs


SOLUTION 1 :

Given:

Time taken{hrs)Speed(km)
      2(y)     52(x)
      (a)    35

As speed decreases, time taken increases.

 It is in inverse variation.

So,   xy   =  Constant

        52 x 2 =  35 x a

        (52 x 2)/ 35 = a

        10435             =  a

        3 hrs             =   a