In a machine , a large gear completes a revolution every minute while a small gear completes a revolution every 24 seconds. If the gears are currently aligned, how much time will pass before they are aligned again?

It takes 6 hoursto complete the work for both Lisa and Tom working together.

Step-by-step explanation:

step 1 :

Let us assume that,

Total work = 130 units (take a number that can be divisible by both 10 and 13)

step 2 :

Lisa completes the work in 10 hours.

Lisa's work per hour=total work / time taken to complete the work

                                  = 130 / 10 = 13 units per hour

step 3 :

Tom completes the work in 13 hours.

Tom's work per hour =total work / time taken to complete the work

                                   = 130 / 13 = 10 units per hour

step 4 :

Both Lisa and Tom can work per hour = 13 units + 10 units

                                                                 = 23 units per hour

step 5 :

Working together can complete the total work in = total work / time taken to complete the work together

= 130 units / 23 units per hour = 5.65 (which is approximately 6 hours).

∴ Time taken by working together = 6 hours.

Answer:

y = (-3/7)x + 3  

Step-by-step explanation:

As we go from (0,3) to (7,0), x increases by 7 from and y decreases by 3 to 0.

Thus, the slope of this line is m = rise / run = -3/7.

Subst. the appropriate values from this info into the slope-intercept form of the equation of a straight line:

y = (-3/7)x + 3                Note that the y-intercept is given:  (0,3).