Problema Solution
It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?
Answer provided by our tutors
It takes Franklin 14 hours to make a 200-square-foot cement patio thus his rate is 1/14 patios per hour
It takes Scott 10 hours to make the same size patio thus his rate is 1/10 patios per hour
let x = the hours they need to make the patio together
the together rate is 1/x patios per hour
now we have
1/14 + 1/10 = 1/x
by solving we find:
x = 35/6 hr
x = 5 5/6 hr
x = 5 hr (5/6)*60 min
x = 5 hr 50 min
click here to see the step by step solution of the equation:
Franklin and Scott will need 5 hours and 50 minutes to make the patio together.