SOLUTION: It takes Tom 30 minutes to mow a particular yard and it takes Jerry 40 minutes to mow the same yard. If they work together, how long will it take them to mow this yard?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes Tom 30 minutes to mow a particular yard and it takes Jerry 40 minutes to mow the same yard. If they work together, how long will it take them to mow this yard?      Log On


   

Question 469863: It takes Tom 30 minutes to mow a particular yard and it takes Jerry 40 minutes to mow the same yard. If they work together, how long will it take them to mow this yard?
Found 2 solutions by sofiyac, ewatrrr:
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
+x%2F40%2Bx%2F30=1
+%283x%29%2F120%2B%284x%29%2F120=1
+%283x%2B4x%29%2F120=1
+%287x%29%2F120=1 cross multiply
+7x=120 divide each side by 7
+x=120%2F7=17.14=17 so it would take about 17 minutes

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent how long will it take them together to mow this yard

Question states*** Per Minute the Equalizer

 1/40 + 1/30 = 1/x  |Multiplying thru by 30*40*x, so as all denominators = 1

 30x + 40x = 30*40

      70x = 1200

        x = 17.1429 min, time it would take togehter to mow this yard