Question

An economy consists of three workers: Kevin, Rajiv, and Yakov. Each works 10 hours a day and can produce two services: mowing lawns and washing cars. In an hour, Kevin can either mow 2 lawns or wash 1 car; Rajiv can either mow 1 lawn or wash 1 car; and Yakov can either mow 1 lawn or wash 2 cars.
For each of the scenarios listed below, determine how many lawns will be mowed and how many cars will be washed per day and enter these values into the corresponding row?

a. All three spend all their time mowing lawns. (A)
b. All three spend all their time washing cars. (B)
c. All three spend half their time on each activity. (C)
d. Kevin spends half his time on each activity, while Rajiv only washes cars and Yakov only mows lawns. (D)

Answer 1

Answer:

1. 40 lawns

2. 40 washed cars

3. 20 lawns, 20 washed cars

4. 25 lawns mowed, 25 washed cars

Explanation:

In the given question,

A) When all three spend all their time mowing lawns that is

Kevin= 2 X 10 hrs = 20

Rajiv = 1 x 10 hrs = 10

Yakov = 1 x10 hrs = 10

Total mowed lawns will be= 20 +10 + 10 = 40 lawns.

B) When all three spend their time washing cars

Kevin =  1 x 10 hrs = 10

Rajiv = 1 x 10 hrs =10

Yakov = 2 x 10 hrs = 20

Total cars washed= 20 +10 + 10

C) when all three people spend their half time on each activity

Kevin  = 2 x 5 hours = 10

Rajiv =  1 x 5 hrs = 5

Yakov1 x 5 hrs = 5

Total lawn mowed will be= 10 + 5 + 5 = 20 therefore time spent on car washing will be 20 hrs.

D) Time on the mowing of the lawn will be =

Kevin =  2 x 5 hrs = 10

Rajiv = 0

Yakov = 1 x 10 hours = 10

Time on the washing of the car will be 20 hrs

Kevin = 1 x 5

Rajiv =  1 x 10

Yakov = 0

Total time = 15 hrs