Albert and his good buddy Brad are both mechanics at a shop that does oil changes. They are

in a friendly competition to see who can complete the most oil changes in one day. Albert has

already finished 6 oil changes today, and can complete more at a rate of 1 oil change per

hour. Brad just came on shift, and can finish 3 oil changes every hour. Sometime during the

day, the friends will be tied, with the same number of oil changes completed. How long will

that take?

Question

Elliot Matthews

Mathematics

28 December, 04:01

Albert and his good buddy Brad are both mechanics at a shop that does oil changes. They are

in a friendly competition to see who can complete the most oil changes in one day. Albert has

already finished 6 oil changes today, and can complete more at a rate of 1 oil change per

hour. Brad just came on shift, and can finish 3 oil changes every hour. Sometime during the

day, the friends will be tied, with the same number of oil changes completed. How long will

that take?

+4

Answers (1)

Know the Answer?

Jamya Mccullough · Answer 1

3 hours

Step-by-step explanation:

Albert already finished 6 oil changes

He works at a rate of 1 oil change per hour

Let x be the number of hour at which they will be tied ie equal

For Albert, we have the sum of a constant and his hourly work rate: 6+1x

Brad works at a rate 3 oil changes every hour: 3x

6+1x=3x

3x-1x=6

2x=6

x=6/2=3

After 3 hours, they will be tied.