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

km


Answer:_______________




2)  

 A car travels 65 km in  41 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




3)  

 A car travels 77 km in  43 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




4)  

 A car travels 69 km in  35 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




5)  

 A car travels 66 km in  43 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




6)  

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

km


Answer:_______________




7)  

 A car travels 77 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




8)  

 A car travels 76 km in  44 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




9)  

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

km


Answer:_______________




10)  

 A car travels 75 km in  39 minutes. At the same rate, how many km will it travel in one hour

km


Answer:_______________




 

1)  

 A car travels 72 km in  37 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)
     72     37 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3760 = 72a

               a=   (72x60)37

                   =   432037

                   = 117 km

      



2)  

 A car travels 65 km in  41 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)
     65     41 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4160 = 65a

               a=   (65x60)41

                   =   390041

                   = 95 km

      



3)  

 A car travels 77 km in  43 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)
     77     43 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4360 = 77a

               a=   (77x60)43

                   =   462043

                   = 107 km

      



4)  

 A car travels 69 km in  35 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)
     69     35 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3560 = 69a

               a=   (69x60)35

                   =   414035

                   = 118 km

      



5)  

 A car travels 66 km in  43 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)
     66     43 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4360 = 66a

               a=   (66x60)43

                   =   396043

                   = 92 km

      



6)  

 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

      



7)  

 A car travels 77 km in  44 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)
     77     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 77a

               a=   (77x60)44

                   =   462044

                   = 105 km

      



8)  

 A car travels 76 km in  44 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)
     76     44 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        4460 = 76a

               a=   (76x60)44

                   =   456044

                   = 104 km

      



9)  

 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

      



10)  

 A car travels 75 km in  39 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)
     75     39 (x)
      (a)    60 (y)

As time taken increases, distance travelled also increases.

It is in direct variation.

 So, xy  = Constant

        3960 = 75a

               a=   (75x60)39

                   =   450039

                   = 115 km