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 62 km in  39 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




2)  

 A car travels 77 km in  45 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




3)  

 A car travels 68 km in  38 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




4)  

 A car travels 71 km in  40 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




5)  

 A car travels 64 km in  39 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




6)  

 A car travels 71 km in  37 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




7)  

 A car travels 71 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




8)  

 A car travels 74 km in  38 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




9)  

 A car travels 73 km in  37 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




10)  

 A car travels 74 km in  39 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




 

1)  

 A car travels 62 km in  39 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)
     62     39 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3960 = 62a

               a=   (62x60)39

                   =   372039

                   = 95 km

      



2)  

 A car travels 77 km in  45 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)
     77     45 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4560 = 77a

               a=   (77x60)45

                   =   462045

                   = 103 km

      



3)  

 A car travels 68 km in  38 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)
     68     38 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3860 = 68a

               a=   (68x60)38

                   =   408038

                   = 107 km

      



4)  

 A car travels 71 km in  40 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)
     71     40 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4060 = 71a

               a=   (71x60)40

                   =   426040

                   = 107 km

      



5)  

 A car travels 64 km in  39 minutes. At the same rate, how many km will it travel in one hour

Answer: 98 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     64     39 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3960 = 64a

               a=   (64x60)39

                   =   384039

                   = 98 km

      



6)  

 A car travels 71 km in  37 minutes. At the same rate, how many km will it travel in one hour

Answer: 115 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     71     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 71a

               a=   (71x60)37

                   =   426037

                   = 115 km

      



7)  

 A car travels 71 km in  44 minutes. At the same rate, how many km will it travel in one hour

Answer: 97 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     71     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 71a

               a=   (71x60)44

                   =   426044

                   = 97 km

      



8)  

 A car travels 74 km in  38 minutes. At the same rate, how many km will it travel in one hour

Answer: 117 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     74     38 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3860 = 74a

               a=   (74x60)38

                   =   444038

                   = 117 km

      



9)  

 A car travels 73 km in  37 minutes. At the same rate, how many km will it travel in one hour

Answer: 118 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     73     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 73a

               a=   (73x60)37

                   =   438037

                   = 118 km

      



10)  

 A car travels 74 km in  39 minutes. At the same rate, how many km will it travel in one hour

Answer: 114 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     74     39 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3960 = 74a

               a=   (74x60)39

                   =   444039

                   = 114 km