Quiz 1: Ratio, Proportions and Formulas

Solve the following automotive-services problem. In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high gear, the engine runs at the same speed as the drive shaft. Engine speed = 4,100 r.p.m. Transmission in first gear Drive-shaft speed (to nearest r.p.m.) =

1,367

Solve the following automotive-services problem. In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high gear, the engine runs at the same speed as the drive shaft. Engine speed = 2,575 r.p.m. Transmission in second gear Drive-shaft speed (to nearest r.p.m.) =

1,609

Work the following pricing problems for services rendered. (For all calculations use hundredths.) Labor time = 6 1/2 hours Overhead rate = 55% Retail price of parts = $114.70 Total cost of job = $231.08 What is hourly rate for labor? $

11.55

Work the following pricing problems for services rendered. (Round to the hundredths.) Hourly rate, worker A = $13.00 Hourly rate, worker B = $9.50 Hourly rate, worker C = $5.00 Labor time, worker A = 1 1/2 hours Labor time, worker B = 1 3/4 hour Labor time, worker C = 2 3/4 hour Overhead rate = 75% Retail price of goods = $74.50 Total cost of job? $

161.78 or 161.79

Calculate the weight of an individual who uses 81 g of protein. How much does he weigh?

180

Solve the following automotive-services problem. Voltage = 80 v Current = 40 amps Resistance =

2

Given the axle below, how much force must be applied to the handle to lift the weight? [da=2", dh=30", wt.=400lbs] Force (to the nearest tenth) =

26.7

Perform the following calculations. To calculate the number of pounds of meat required to feed diners do the following: for poultry or meat with bones, divide the number to be served by 2.5; for meat with little or no bone, divide the number to be served by 3.5; and for fish fillets divide the number to be served by 3.5. Guests = 125 Meat served = chicken with a bone How many pounds of chicken required?

50

Calculate the protein intake of Miss Workout who weighs 120 lb. Remember: (0.45)(w-lb) = (w-kg) and the recommended protein in grams is numerically equal to the person's weight in kilograms. How much protein should she consume?

54

Perform the following calculations. Guests = 220 Portions of beets served = 6 oz. Size of beet can = 24 oz. How many cans of beets required?

55

Solve the following automotive-services problem. Remember I = E/R, where (I = amps) against resistance (R = ohms) in the electric field (E = volts.). Resistance = 0.2 ohm Current = 30 amps Voltage =

6

In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 40 lb. weight if the bar is 11 feet long? x (to the nearest tenth) =

6.1

Work the following pricing problems for services rendered. (Round to tenths.) Labor rate = $7.50 per hour Labor time = 6.5 hours Retail price of parts = $0 Total job cost = $82.00 Overhead rate?

68.2

Calculate how many calories used. (Round to hundredths.) Remember: Individuals of the same approximate weight running 6 mph or 1 mile every ten minutes have a calorie use factor of 62% of their weight; i.e. calories burned = (weight)(0.62). A person weighing 142 lbs. jogs 1 mile in 10 minutes.

88.04