Working together at their respective constant rates, robot A and robot B polish 88 pounds of gemstones in 6 minutes. If robot A's rate of polishing is that of robot B, how many minutes would it take robot A alone to polish 165 pounds of gemstones

11 minutes and 25 seconds.

Explanation:

As we saw in the question above, the polishing rate of robot A is equal to the polishing rate of robot B. Furthermore, we saw that both can polish 88 pounds of gemstones in 6 minutes.

To find out how many minutes it would take A robot to polish 165 pounds of gemstones, we have to calculate as follows:

88 pounds of gemstones = 6 minutes.

165 pounds of gemstones = x minutes.

X = (165 * 6) / 88

X = 11.25

X = 11 minutes and 25 seconds.