it takes Terrell 65 minutes to weed his garden if he does it

it takes Terrell 65 minutes to weed his garden if he does it every 2 weeks, while his wife can get it done in 45 minutes. how long would it take them working together? round to the nearest tenth of a minute.

Solution

Time taken by Terrell = 65 minutes

==> work completed by Terrell in 1 minute = (1/65)

Time taken by his wife = 45 minutes

==> work completed by his wife in 1 minute = (1/45)

If they work together,

work completed by both of them in 1 minute = (1/65) + (1/45) = 22/585

==> It takes 585/22 = 26.59 = 26.6 minutes to weed the garden if they work together