If Alfonso does a job in 30 hours more than Zoe, and they can do the job together in 8 hours, how long would it take Zoe to do the job alone?

Step-by-step explanation:

Let the time it will take Alfonso be x

Let the time it will take Zoe be y

If Alfonso does a job in 30 hours more than Zoe, then;

x = 30+y 1

Also if they can do the job together in 8 hours, then;

x+y = 8 2

Substitute 1 into 2;

x+y=8

30+y+y = 8

40+2y = 8

2y = -32

y = -16

Hence X = 30-16

X = 14

y = 30+14 = 44

hence it will take Alfonso about 44hours to do the work alone