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
`(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(1)/(2)` hours and Jerry cleans a house in
`3(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(1)/(4) = (3 * 4 + 1)/(4) = (13)/(4) \text{hours}`

Time taken by Thomas =
`2(1)/(2) = (2 * 2 + 1)/(2) = (5)/(2) \text{hours}`

Substituting the values in above formula,

Number of hours more Jerry takes to clean than thomas =
`(13)/(4) - (5)/(2)`

On solving we get,

`=(13)/(4) - (5)/(2)\\\\= (26-20)/(8)\\\\= (6)/(8) = 0.75`

Thus Jerry takes 0.75 hours or
`(6)/(8)` hours more to clean house than thomas