VanillaAngelic VanillaAngelic

22-08-2017
Mathematics

contestada

Emily can rake her lawn in 5 hours. Andrew can rake the same lawn in 8 hours. Rounded to the nearest hour, how long will the job take if they work together?

Explain too, please. Thanks!

Respuesta :

kphung76127 kphung76127

22-08-2017

Emily can rake 1/5 of the lawn in an hr.
Andrew can rake 1/8 of the lawn in an hr.

Together, they rake 1 yardful. x represents time in hours.
(1/5)x+ (1/8)x= 1

Multiply all values by 40
8x+5x=40
13x=40
x= 40/13
x=3.0769...

Final answer: 3 hours

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