In a warehouse, a group of identical robots fills orders. In 10 minutes, 5 robots can fill 20 orders. If 8 robots worked at that same rate for an hour, how many orders would they fill?

All robots are working simultaneously, so each robot takes 10 minutes to do their orders. They are all identical, so they take an equal amount of time to do each order, meaning 20 ÷ 5 = 4. Each robot takes 10 minutes to do 4 orders.

If there are eight robots working for 60 minutes, each robot can make six times as many orders, compared to when they were working for 10 minutes. 4 x 6 = 24. There are eight robots, so 24 x 8 = 192 orders.

AFOKE88 AFOKE88 · Answer 2 · 2021-10-08T11:48:23+02:00

The number of orders the 8 robots will fill if they work at the same rate as the 5 robots is; 192 orders.

We are told that the group has identical robots.

Now, since 5 of them can fill 20 orders in 10 minutes. Thus;

Each robot fills; 20/5 = 4 orders for 10 minutes

8 robots work at the same rate gotten above for an hour.

60 minutes make one hour, so if the rate is 4 orders for 10 minutes per robot, the for 60 minutes the rate will be; (60 × 4)/10 = 24 orders per hour

Since there are 8 of the robots working for that hour, then;

Total orders filled by the 8 robots = 8 × 24 = 192 orders

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