SOLUTION: Ayuba can hoe a yam plot in 5hours and salihu can hoe it in 4hours. What fraction of the plot can each of them hoe in 1hour if they work together? ... How long will it take them to

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Ayuba can hoe a yam plot in 5hours and salihu can hoe it in 4hours. What fraction of the plot can each of them hoe in 1hour if they work together? ... How long will it take them to      Log On


   

Question 1128711: Ayuba can hoe a yam plot in 5hours and salihu can hoe it in 4hours. What fraction of the plot can each of them hoe in 1hour if they work together? ... How long will it take them to hoe the whole plot working together? 
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working to get
their rate working together
Let +x+ = the fraction of the
plot they hoe working together
in 1 hr
+1%2F5+%2B+1%2F4+=+x%2F1+
Multiply both sides by +20+
+4+%2B+5+=+20x+
+20x+=+9+
+x+=+9%2F20+
They hoe 9/20 of the plot in 1 hr woking together
-----------------------
Let +t+ = time in hrs to hoe 1 plot
working together
+1%2F5+%2B+1%2F4+=+1%2Ft+
Multiply both sides by +20t+
+4t+%2B+5t+=+20+
+9t+=+20+
+t+=+20%2F9+ hrs
20/9 hrs working together