Richard and Ayanna live in the country and have a very long driveway. After a heavy snowfall, Richard could shovel out the driveway in 8 hours by himself. If the two of them work together they could finish the job in 3 hours. How long would it take Ayanna working alone to shovel the driveway?
Richard rate = 1 driveway / 8 hours
Ayanna rate = 1 driveway / xhours
Their combined rate completes the job in 3 hours
3 = 1 driveway / (1driveway/8hours + 1 driveway/xhours)
3 = 1 /(1/8 + 1/x)
3/8 + 3/x = 1
3/x = 5/8
3 / (5/8) = x
x = 24/5 = 4 4/5 hr for Ayanna
Richard rate = 1 driveway / 8 hours
Ayanna rate = 1 driveway / xhours
Their combined rate completes the job in 3 hours
3 = 1 driveway / (1driveway/8hours + 1 driveway/xhours)
3 = 1 /(1/8 + 1/x)
3/8 + 3/x = 1
3/x = 5/8
3 / (5/8) = x
x = 24/5 = 4 4/5 hr for Ayanna