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

km


Answer:_______________




2)  

 A car travels 62 km in  42 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




3)  

 A car travels 69 km in  38 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




4)  

 A car travels 66 km in  37 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




5)  

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

km


Answer:_______________




6)  

 A car travels 79 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




7)  

 A car travels 63 km in  43 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




8)  

 A car travels 69 km in  45 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




9)  

 A car travels 71 km in  35 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




10)  

 A car travels 68 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




 

1)  

 A car travels 72 km in  35 minutes. At the same rate, how many km will it travel in one hour

Answer: 123 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     72     35 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3560 = 72a

               a=   (72x60)35

                   =   432035

                   = 123 km

      



2)  

 A car travels 62 km in  42 minutes. At the same rate, how many km will it travel in one hour

Answer: 89 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     62     42 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4260 = 62a

               a=   (62x60)42

                   =   372042

                   = 89 km

      



3)  

 A car travels 69 km in  38 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)
     69     38 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3860 = 69a

               a=   (69x60)38

                   =   414038

                   = 109 km

      



4)  

 A car travels 66 km in  37 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)
     66     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 66a

               a=   (66x60)37

                   =   396037

                   = 107 km

      



5)  

 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

      



6)  

 A car travels 79 km in  44 minutes. At the same rate, how many km will it travel in one hour

Answer: 108 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     79     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 79a

               a=   (79x60)44

                   =   474044

                   = 108 km

      



7)  

 A car travels 63 km in  43 minutes. At the same rate, how many km will it travel in one hour

Answer: 88 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     63     43 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4360 = 63a

               a=   (63x60)43

                   =   378043

                   = 88 km

      



8)  

 A car travels 69 km in  45 minutes. At the same rate, how many km will it travel in one hour

Answer: 92 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     69     45 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4560 = 69a

               a=   (69x60)45

                   =   414045

                   = 92 km

      



9)  

 A car travels 71 km in  35 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)
     71     35 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3560 = 71a

               a=   (71x60)35

                   =   426035

                   = 122 km

      



10)  

 A car travels 68 km in  44 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)
     68     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 68a

               a=   (68x60)44

                   =   408044

                   = 93 km