SOLUTION: You can mow 1 acre of the city park in 20 minutes. Your friend can mow 1 acre of the park in 25 minutes. Enter an equation that can be used to find the time in minutes, t, it w

Algebra ->  Rate-of-work-word-problems -> SOLUTION: You can mow 1 acre of the city park in 20 minutes. Your friend can mow 1 acre of the park in 25 minutes. Enter an equation that can be used to find the time in minutes, t, it w      Log On


   



Question 1126988: You can mow 1 acre of the city park in 20 minutes. Your friend can mow 1 acre of the park in 25 minutes.
Enter an equation that can be used to find the time in minutes, t, it would take you and your friend to mow 12 acres of the park if you work together.




Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

You can mow 1 acre in 20 minutes, so your rate of mowing is +%281%2F20%29%28acres%2Fmin%29+
Your friend's rate is %281%2F25%29+%28acres%2Fmin%29 per min
Working together, your combined rate is %281%2F20+%2B+1%2F25%29+%28acres%2Fmin%29=+%289%2F100%29+%28acres%2Fmin%29
The time per acre is t=acres%2Frate
if acres=12 and rate=%289%2F100%29+%28acres%2Fmin%29, then
t=12acres%2F%289%2F100%29+%28acres%2Fmin%29
t=12%2F%289%2F100min%29
t=%2812%2A100min%29%2F9
t=%28cross%2812%294%2A100min%29%2Fcross%289%293
t=%284%2A100min%29%2F3
t=%28400min%29%2F3
t=%28400%2F3%29min
t=133.33min