If jake can complete a job in 1 hour 30 minutes and his friend harry can complete the same job in half the time, how long will it take to complete the job if they work together?

if they work together, it will take them 0.5 hours or 30 minutes

Step-by-step explanation:

jake can complete a job in 1 hour 30 minutes or 1.5 hours. This means that his unit rate is 1/1.5

his friend Harry can complete the same job in half the time. This means that Harry can complete the same job in 0.75 hours. His unit rate of working would be 1/0.75.

Since both of them work simultaneously at their individual rates, then, Their unit rates are additive. Assuming by working together, it took them t hours to finish the work. This means that their combined unit rate would be 1/t. Therefore,

1/1.5 + 1/0.75 = 1/t

1/t = 2

2t = 1

t = 1/2 = 0.5 hours or 30 minutes

the speed is   miles per hour > is false

step-by-step explanation:

we know that  

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

for the point

substitute the values of x and y

the linear equation is equal to

statements

case a) it takes hours to go miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct

case b) the speed is   miles per hour

the statement is false

because the speed is

case c) the unit rate for the trip is

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took minutes to go the first miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct

135

step-by-step explanation:

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