For banquets, meals are placed on plates using a "plating belt" that moves plates past staff who place food on each plate. If plates are placed 2 ft apart, and you need to plate 1,800 meals in 1 hour, how fast must the belt speed be set to in feet per second?

a) 1 foot/second

b) 2.5 feet/second

c) 3.5 feet/second

d) 4 feet per second

Answer : Option A) 1 foot/secondExplanation:

If we consider that the plates are placed 2 ft apart and there has to be 1800 meals that needs to be delivered in an hour.

so if we multiply 2 ft and 1800 meals that is delivered in 1 hour, we get 2 X 1800 = 3600 meals in an hour.

If we try to accommodate the plates at each ft then there will be 3600 meals delivered in 1 hour.

we know that 1 hour has 3600 seconds in it.

So, here the distance is 1 ft, and speed has to be determined time is 1 hour = 3600 seconds

3600 meals / 3600 seconds = 1 foot per second.

OR 1800 meals set at 2 ft apart in 3600 seconds will give the speed of the belt as 1 foot per second.

(1 ft = speed X 1 hour)

so, the speed also will be 1 foot per second.