Question

Jerry and Thomas own a cleaning business. Thomas cleans a house in 2 1/2 hours . Jerry cleans a house in 3 1/4 hours. How much longer does it take Jerry to clean a house than Thomas

Answer 1

Jerry takes 0.75 hours or $\frac{6}{8}$ hours more to clean house than thomas

Solution:

Given that Jerry and Thomas own a cleaning business

Thomas cleans a house in $2\frac{1}{2}$ hours and Jerry cleans a house in $3\frac{1}{4}$ 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 = $3\frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{13}{4} \text{hours}$

Time taken by Thomas = $2\frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} \text{hours}$

Substituting the values in above formula,

Number of hours more Jerry takes to clean than thomas = $\frac{13}{4} - \frac{5}{2}$

On solving we get,

$=\frac{13}{4} - \frac{5}{2}\\\\= \frac{26-20}{8}\\\\= \frac{6}{8} = 0.75$

Thus Jerry takes 0.75 hours or $\frac{6}{8}$ hours more to clean house than thomas