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Question : Two times the reciprocal of a number equals 48 times the reciprocal of 60. Find the number. : 2151540

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve.

1) Two times the reciprocal of a number equals 48 times the reciprocal of 60. Find the number.

A) 120

B) 14

C) (5/2)

D) (8/5)

2) Five divided by the difference of a number and 3 equals the quotient of 10 and the sum of the number and 6. Find the number.

A) 0

B) (9/5)

C) 12

D) 4

3) If three times a number added to 11 is divided by the number plus 9, the result is four thirds. Find the number.

A) - (33/2)

B) - (17/9)

C) - (63/5)

D) (3/5)

4) Five divided by the sum of a number and 4, minus the quotient of 3 and the difference of the number and 4 is equal to 6 times the reciprocal of the difference of the number squared and 16. What is the number?

A) -13

B) - (13/4)

C) 19

D) 7

5) A painter can finish painting a house in 8 hours. Her assistant takes 10 hours to finish the same job. How long would it take for them to complete the job if they were working together?

A) (9/40) hr

B) 9 hr

C) 7 hr

D) 4(4/9) hr

6) Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 3 hours, while it takes Rachel 4 hours to finish the same job. If Mark and Rachel will work together on the job, and the cost of labor is $35 per hour, what should the labor estimate be? (Round to the nearest cent, if necessary.)

A) $120.00

B) $60.00

C) $122.50

D) $20.42

7) One pump can drain a pool in 9 minutes. When a second pump is also used, the pool only takes 6 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?

A) (1/18) min

B) 51 min

C) 18 min

D) 3(3/5) min

8) One conveyor belt can move 1000 boxes in 7 minutes. Another can move 1000 boxes in 6 minutes. If another conveyor belt is added and all three are used, the boxes are moved in 3 minutes. How long would it take the third conveyor belt alone to do the same job?

A) (1/42) min

B) 1(5/9) min

C) 42 min

D) (9/14) min

9) A baker can decorate the day's cookie supply four times as fast as his new assistant. If they decorate all the cookies working together in 32 minutes, how long would it take for each of them to decorate the cookies working individually?

A) baker: 160 min

assistant: 640 min

B) baker: 9(1/4) min

assistant: 37 min

C) baker: 160 min

assistant: 40 min

D) baker: 40 min

assistant: 160 min

10) A cyclist bikes at a constant speed for 24 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 29 miles. Find his speed.

A) 5 mph

B) 7 mph

C) 4 mph

D) 6 mph

11) A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains.

A) 40 mph

B) 20 mph

C) 50 mph

D) 80 mph

12) A boat moves 8 kilometers upstream in the same amount of time it moves 20 kilometers downstream. If the rate of the current is 8 kilometers per hour, find the rate of the boat in still water.

A) 13(1/3) km/hr

B) 18(2/3) km/hr

C) 8 km/hr

D) 5(1/3) km/hr

13) Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 11 miles with the wind, and in the same amount of time runs 7 miles against the wind. What is the rate of the wind?

A) 5 mph

B) 2 mph

C) 22(1/2) mph

D) 1(1/9) mph

14) In a race, Car A starts 1 mile behind Car B. Car A is traveling at 65 miles per hour, while Car B is traveling at 55 miles per hour. How long will it take for Car A to overtake Car B?

A) (1/10) min

B) 5(1/2) min

C) 33 min

D) 6 min