lessica swing a lap in 29 2/5 Martha can swing allowed in 2.8 seconds how much faster can my Marta swing allowed in Jessica

Respuesta :

Given that                                   2

Jessica swing a lap in    29    ------------- seconds .

                                                      5


Marta swings in 2. 8 seconds .

We have Jessica time in mixed fraction and Marta time in decimals .

We first covert mixed fraction into improper .

       2               29 * 5 + 2                   145  + 2                 147

29 --------   =     ------------------    =     ------------------      =  -------------

         5                     5                                5                      5

                                         147

Thus Jessica time is    ------------ .

                                           5


Converting Marta time into fractions .

There is decimal . We have 2.8  seconds .

              28

2.8  =   --------------  .

               10

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fractions .

Multiply first fraction (147/5) by 2 in both numerator and denominator to make the denominator 10 .

It become

147 * 2              294      

-----------   =   ----------------

5 * 2                     10


Thus we get denominator of both the fractions same .

Jessica time is 294/10  and Marta time is  28/10 seconds .

Marta taking less time . She is faster .

Difference

294            28                    266

------    -    -------------   =     ----------- seconds .

10                10                     10  


Converting to decimal , we get 26.6 seconds .


Marta is faster by 26.6 seconds .