Respuesta :
Jerry takes 0.75 hours or [tex]\frac{6}{8}[/tex] hours more to clean house than thomas
Solution:
Given that Jerry and Thomas own a cleaning business
Thomas cleans a house in [tex]2\frac{1}{2}[/tex] hours and Jerry cleans a house in [tex]3\frac{1}{4}[/tex] hours
To find: Number of hours more Jerry takes to clean than thomas
Number of hours more Jerry takes to clean than thomas = time taken by Jerry - time taken by thomas
Time taken by Jerry = [tex]3\frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{13}{4} \text{hours}[/tex]
Time taken by Thomas = [tex]2\frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} \text{hours}[/tex]
Substituting the values in above formula,
Number of hours more Jerry takes to clean than thomas = [tex]\frac{13}{4} - \frac{5}{2}[/tex]
On solving we get,
[tex]=\frac{13}{4} - \frac{5}{2}\\\\= \frac{26-20}{8}\\\\= \frac{6}{8} = 0.75[/tex]
Thus Jerry takes 0.75 hours or [tex]\frac{6}{8}[/tex] hours more to clean house than thomas
