Matt and Jim, working together, can weed the garden in 10 hours. Working alone, Jim takes five times as long as Matt. How long does it take Matt to weed the garden alone?

Question

Guest

Mathematics

16 May, 21:42

Matt and Jim, working together, can weed the garden in 10 hours. Working alone, Jim takes five times as long as Matt. How long does it take Matt to weed the garden alone?

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Answers (2)

Know the Answer?

Sherlock · Answer 1

10x5=50 Hours!

Step-by-step explanation:

All you just got to do is 10x5 DUH Easy!

Evelin Miles · Answer 2

1.67hrs

Step-by-step explanation:

Let the time taken by Matt to weed the farm be x and that of Jim be y

When they both work together

x + y = 10

Working alone Jim takes as long as 5 times Matt.

That's y = 5x

Substitute 5x for y in the first equation

That's x + 5x = 10

6x = 10

Divide both sides by 6

6x/6 = 10/6

x = 1.67 hrs

It takes Matt 1.67hrs to weed the farm alone