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 65 km in  40 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




2)  

 A car travels 77 km in  38 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




3)  

 A car travels 62 km in  38 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




4)  

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

km


Answer:_______________




5)  

 A car travels 61 km in  43 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




6)  

 A car travels 74 km in  41 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




7)  

 A car travels 67 km in  38 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




8)  

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

km


Answer:_______________




9)  

 A car travels 74 km in  37 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




10)  

 A car travels 65 km in  37 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




 

1)  

 A car travels 65 km in  40 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)
     65     40 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4060 = 65a

               a=   (65x60)40

                   =   390040

                   = 98 km

      



2)  

 A car travels 77 km in  38 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)
     77     38 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3860 = 77a

               a=   (77x60)38

                   =   462038

                   = 122 km

      



3)  

 A car travels 62 km in  38 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)
     62     38 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3860 = 62a

               a=   (62x60)38

                   =   372038

                   = 98 km

      



4)  

 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

      



5)  

 A car travels 61 km in  43 minutes. At the same rate, how many km will it travel in one hour

Answer: 85 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     61     43 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4360 = 61a

               a=   (61x60)43

                   =   366043

                   = 85 km

      



6)  

 A car travels 74 km in  41 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)
     74     41 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4160 = 74a

               a=   (74x60)41

                   =   444041

                   = 108 km

      



7)  

 A car travels 67 km in  38 minutes. At the same rate, how many km will it travel in one hour

Answer: 106 km


SOLUTION 1 :

Given :

Distance travelled (km)Time taken (min)
     67     38 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3860 = 67a

               a=   (67x60)38

                   =   402038

                   = 106 km

      



8)  

 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

      



9)  

 A car travels 74 km in  37 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)
     74     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 74a

               a=   (74x60)37

                   =   444037

                   = 120 km

      



10)  

 A car travels 65 km in  37 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)
     65     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 65a

               a=   (65x60)37

                   =   390037

                   = 105 km