40.5k views
1 vote
Stan and Hilda can mow the lawn in 60 minutes if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?

User Venkat V
by
6.4k points

2 Answers

3 votes

Answer:

180 minuntes

Explanation:

User Hendra Jaya
by
6.5k points
2 votes
A) (S * H ) / (S + H) = 60
B) 2*H = S

Inserting "B" into "A"
(2H * H) / (2H + H) = 60
2H^2 = 120H + 60H
2H^2 -180 H = 0



H = 90 minutes
S = 180 minutes

Double Check
(180 * 90 ) / (180 + 90) = 60
Correct

Hilda takes 90 minutes Stan takes 180 minutes.

User Rocker
by
7.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.