Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4337)


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 travels 67 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




2)  

 A car travels 61 km in  35 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




3)  

 A car travels 61 km in  45 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




4)  

 A car travels 75 km in  35 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




5)  

 A car travels 60 km in  35 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




6)  

 A car travels 68 km in  39 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




7)  

 A car travels 64 km in  42 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




8)  

 A car travels 61 km in  42 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




9)  

 A car travels 73 km in  41 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




10)  

 A car travels 67 km in  40 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




 

1)  

 A car travels 67 km in  44 minutes. At the same rate, how many km will it travel in one hour

Answer: 91 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     67     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 67a

               a=   (67x60)44

                   =   402044

                   = 91 km

      



2)  

 A car travels 61 km in  35 minutes. At the same rate, how many km will it travel in one hour

Answer: 105 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     61     35 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3560 = 61a

               a=   (61x60)35

                   =   366035

                   = 105 km

      



3)  

 A car travels 61 km in  45 minutes. At the same rate, how many km will it travel in one hour

Answer: 81 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     61     45 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4560 = 61a

               a=   (61x60)45

                   =   366045

                   = 81 km

      



4)  

 A car travels 75 km in  35 minutes. At the same rate, how many km will it travel in one hour

Answer: 129 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     75     35 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3560 = 75a

               a=   (75x60)35

                   =   450035

                   = 129 km

      



5)  

 A car travels 60 km in  35 minutes. At the same rate, how many km will it travel in one hour

Answer: 103 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     60     35 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3560 = 60a

               a=   (60x60)35

                   =   360035

                   = 103 km

      



6)  

 A car travels 68 km in  39 minutes. At the same rate, how many km will it travel in one hour

Answer: 105 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     68     39 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3960 = 68a

               a=   (68x60)39

                   =   408039

                   = 105 km

      



7)  

 A car travels 64 km in  42 minutes. At the same rate, how many km will it travel in one hour

Answer: 91 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     64     42 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4260 = 64a

               a=   (64x60)42

                   =   384042

                   = 91 km

      



8)  

 A car travels 61 km in  42 minutes. At the same rate, how many km will it travel in one hour

Answer: 87 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     61     42 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4260 = 61a

               a=   (61x60)42

                   =   366042

                   = 87 km

      



9)  

 A car travels 73 km in  41 minutes. At the same rate, how many km will it travel in one hour

Answer: 107 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     73     41 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4160 = 73a

               a=   (73x60)41

                   =   438041

                   = 107 km

      



10)  

 A car travels 67 km in  40 minutes. At the same rate, how many km will it travel in one hour

Answer: 101 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     67     40 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4060 = 67a

               a=   (67x60)40

                   =   402040

                   = 101 km