Question

Three students, Simone, Jeffrey, and

Enzo, are washing cars for a fund-
raiser. If all three students wash
1 car, it will take y minutes. If
Simone washes the car alone, it
takes 40 minutes. If Jeffrey washes
the car alone, it takes 35 minutes.
If it takes Enzo x minutes to wash
the car alone, which equation
represents the amount of time it
takes for the three students to wash
the car?
1
Y
=
1 =
Y
O Y
=
1
40
1
+ +
35
1
40
40 + 35 + x
+
1
35
1
8
O y = 40 + 35 + x
+ x

Answer 1

Explanation:

The correct equation that represents the amount of time it takes for the three students to wash the car is:

1/y = 1/40 + 1/35 + 1/x

This equation combines the rates of work for each individual (Simone, Jeffrey, and Enzo) to determine the combined rate of work for all three students together. The reciprocal of this rate gives the amount of time it takes for them to wash the car together.