contestada

Claire mowed 4 lawns last week. She mowed each lawn in startfraction 7 over 27 endfraction hour. She mowed the same lawns this week in startfraction 5 over 27 endfraction hour each using her new lawn mower. How many times longer was​ claire's time to mow all the lawns last week than this​ week?

Respuesta :

Claire's time to mow all the lawns last week was 1.4 times longer than this week.

Explanation

Claire mowed each lawn in [tex]\frac{7}{27}[/tex] hour last week.

So, the total time taken to mow all 4 lawns last week [tex]=\frac{7}{27}*4=\frac{28}{27}[/tex] hours.

She mowed the same lawns this week and took [tex]\frac{5}{27}[/tex] hour for each.

So, the total time taken to mow all 4 lawns this week [tex]=\frac{5}{27}*4=\frac{20}{27}[/tex] hours.

Now.....

(Total time in last week / Total time in this week)  [tex]=\frac{(\frac{28}{27})}{(\frac{20}{27})} = \frac{28}{20}=\frac{7}{5}=1.4[/tex]

So, Claire's time to mow all the lawns last week was 1.4 times longer than this week.

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