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 80 km in  38 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




2)  

 A car travels 79 km in  40 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




3)  

 A car travels 63 km in  36 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




4)  

 A car travels 68 km in  40 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




5)  

 A car travels 66 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




6)  

 A car travels 70 km in  45 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




7)  

 A car travels 60 km in  45 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




8)  

 A car travels 64 km in  40 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




9)  

 A car travels 80 km in  37 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




10)  

 A car travels 63 km in  40 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




 

1)  

 A car travels 80 km in  38 minutes. At the same rate, how many km will it travel in one hour

Answer: 126 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     80     38 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3860 = 80a

               a=   (80x60)38

                   =   480038

                   = 126 km

      



2)  

 A car travels 79 km in  40 minutes. At the same rate, how many km will it travel in one hour

Answer: 119 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     79     40 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4060 = 79a

               a=   (79x60)40

                   =   474040

                   = 119 km

      



3)  

 A car travels 63 km in  36 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)
     63     36 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3660 = 63a

               a=   (63x60)36

                   =   378036

                   = 105 km

      



4)  

 A car travels 68 km in  40 minutes. At the same rate, how many km will it travel in one hour

Answer: 102 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     68     40 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4060 = 68a

               a=   (68x60)40

                   =   408040

                   = 102 km

      



5)  

 A car travels 66 km in  44 minutes. At the same rate, how many km will it travel in one hour

Answer: 90 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     66     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 66a

               a=   (66x60)44

                   =   396044

                   = 90 km

      



6)  

 A car travels 70 km in  45 minutes. At the same rate, how many km will it travel in one hour

Answer: 93 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     70     45 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4560 = 70a

               a=   (70x60)45

                   =   420045

                   = 93 km

      



7)  

 A car travels 60 km in  45 minutes. At the same rate, how many km will it travel in one hour

Answer: 80 km


SOLUTION 1 :

Given :

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

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4560 = 60a

               a=   (60x60)45

                   =   360045

                   = 80 km

      



8)  

 A car travels 64 km in  40 minutes. At the same rate, how many km will it travel in one hour

Answer: 96 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     64     40 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4060 = 64a

               a=   (64x60)40

                   =   384040

                   = 96 km

      



9)  

 A car travels 80 km in  37 minutes. At the same rate, how many km will it travel in one hour

Answer: 130 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     80     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 80a

               a=   (80x60)37

                   =   480037

                   = 130 km

      



10)  

 A car travels 63 km in  40 minutes. At the same rate, how many km will it travel in one hour

Answer: 95 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     63     40 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4060 = 63a

               a=   (63x60)40

                   =   378040

                   = 95 km