Tom and sam can finish a plowing job in two hours if they work together. tom working alone can do the job in 7 hours. how long would it take sam to finish the same job alone

Respuesta :

Tom’s Rate + Sam’s rate = Together rate

Therefore, Sam’s rate = Together rate – Tom’s rate

 

Sam's rate = 1/x job per hour

Together rate = 1/2 job per hour
Tom's rate = 1/7 job per hour

Therefore,
1/x = 1/2 – 1/7

 

(multiply the equation by 14x; 14x is the lowest common multiple of the denominators)

 

14 = 7x – 2x

5x = 14
x = 2.8 hours

 

2.8 hours = 2 hours + (0.8 X 60) minutes

0.8 X 60 = 48 minute

Therefore, 2.8 hours = 2hrs 48 mins

 

How long it would take Sam to finish the same job alone is 2hrs 48 mins.

According to above equation, Sam will take 2hrs and 48 mins to finish the same job alone.

What is the term plowing job about?

Plowing refers to as a job in which a man plow the land pulled by horses. In simple words we can say that under plowing jobs farmers cuts the soil into parts in order to do planting.

Solution:

Sam’s rate = Together rate – Tom’s rate

Sam's rate = 1/x job per hour

Together rate = 1/2 job per hour

Tom's rate = 1/7 job per hour

Therefore,

1/x = 1/2 – 1/7

multiply the equation by 14x,

14 = 7x – 2x

5x = 14

x = 2.8 hours

2.8 hours = 2 hours + (0.8 X 60) minutes

0.8 X 60 = 48 minute

Therefore, 2.8 hours = 2hrs 48 mins

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