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 70 km in  35 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




2)  

 A car travels 77 km in  42 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




3)  

 A car travels 64 km in  37 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




4)  

 A car travels 69 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




5)  

 A car travels 73 km in  36 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




6)  

 A car travels 75 km in  43 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




7)  

 A car travels 60 km in  36 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




8)  

 A car travels 71 km in  43 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




9)  

 A car travels 74 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




10)  

 A car travels 71 km in  39 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




 

1)  

 A car travels 70 km in  35 minutes. At the same rate, how many km will it travel in one hour

Answer: 120 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     70     35 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3560 = 70a

               a=   (70x60)35

                   =   420035

                   = 120 km

      



2)  

 A car travels 77 km in  42 minutes. At the same rate, how many km will it travel in one hour

Answer: 110 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     77     42 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4260 = 77a

               a=   (77x60)42

                   =   462042

                   = 110 km

      



3)  

 A car travels 64 km in  37 minutes. At the same rate, how many km will it travel in one hour

Answer: 104 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     64     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 64a

               a=   (64x60)37

                   =   384037

                   = 104 km

      



4)  

 A car travels 69 km in  44 minutes. At the same rate, how many km will it travel in one hour

Answer: 94 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     69     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 69a

               a=   (69x60)44

                   =   414044

                   = 94 km

      



5)  

 A car travels 73 km in  36 minutes. At the same rate, how many km will it travel in one hour

Answer: 122 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     73     36 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3660 = 73a

               a=   (73x60)36

                   =   438036

                   = 122 km

      



6)  

 A car travels 75 km in  43 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)
     75     43 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4360 = 75a

               a=   (75x60)43

                   =   450043

                   = 105 km

      



7)  

 A car travels 60 km in  36 minutes. At the same rate, how many km will it travel in one hour

Answer: 100 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     60     36 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3660 = 60a

               a=   (60x60)36

                   =   360036

                   = 100 km

      



8)  

 A car travels 71 km in  43 minutes. At the same rate, how many km will it travel in one hour

Answer: 99 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     71     43 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4360 = 71a

               a=   (71x60)43

                   =   426043

                   = 99 km

      



9)  

 A car travels 74 km in  44 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)
     74     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 74a

               a=   (74x60)44

                   =   444044

                   = 101 km

      



10)  

 A car travels 71 km in  39 minutes. At the same rate, how many km will it travel in one hour

Answer: 109 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     71     39 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3960 = 71a

               a=   (71x60)39

                   =   426039

                   = 109 km