Question

Wilma can mow a lawn in 80 minutes. Rocky can mow the same lawn in 120 minutes. Construct an equation that would allow you to determine how long it would take them to mow 2 lawns if they worked together. Use t to represent the number of minutes they work.

Answer 1

`t = 96 minutes`

Step-by-step explanation:

Time to mow 1 lawn by Wilma is 80 minutes

so work done in 1 minute by Wilma is given as

`W_1 = (1)/(80)`

Similarly Rocky mow same lawn in 120 minute

so work done in 1 minute by Rocky is given as

`W_2 = (1)/(120)`

now we know that they both worked by "t" time

so total work performed by them

`W = (t)/(80) + (t)/(120)`

they both mow 2 lawns then it is given as

`2 = ((1)/(80) + (1)/(120))t`

`t = 96 minutes`