Abe can mow the lawn in 15 minutes.Ben can mow the lawn in 20 minutes.Carl can mow the lawn in 30 minutes.They work together for 5 minutes.What part of the lawn was mowed?

a. 1/4
b. 2/3
c. 3/4
d. 4/5
e. all of it

please answer and explain

1 answer

Abbe's rate = 1/15 lawns/min
Ben's rate = 1/20 lawns/min
Carls' rate = 1/30 min

combined rate = 1/15 + 1/20 + 1/ 30 = 3/20 lawn/min

but they mowed for 5 minutes

so time x rate = 5(3/20) = 15/20 or 3/4

They mowed 3/4 of the lawn