Cassie and Derek must decorate 60 cupcakes. It takes them 150 minutes to complete the task together. How long would it take Derek to decorate the cupcakes by himself?

Statement 1: It would take Cassie 240 minutes to decorate the cupcakes by herself.

Statement 2: Derek can decorate 9 cupcakes in 1 hour.

Two trains (Train A and Train B) leave their stations at exactly 6 pm, travelling towards each other from stations exactly 60 miles apart. There are no other stops between these two stations. What time does Train B arrive at its destination?

1. Train A travels twice as fast as Train B.

2. At 6:40 pm, the two trains pass each other.

Car A drives on road 66 at a rate of 50 mph, how long does it take for car B to catch up?

(1) Car A is 20 miles ahead of car B.

(2) Car B has a rate of 60 mph.

Train A takes 3 more hours than train B to go 180 miles, what is the average speed of train A?

(1) Train B's rate is 20 mph less than train A.

(2) Train A takes 4 hours to travel from city A to city B.

How long does it take train A to reach a town which is 500 miles away, knowing that the entire portion of the rails are damaged?

(1) The train usually goes 500 miles in 675 minutes.

(2) Since the rails are damaged it typically takes train A twice the usual time.

Data sufficiency question- do not actually solve the question

How many hours did it take to drive from city A to city B without stopping?

1. The drive started at 10 am.

2. The average speed during the trip is 65 miles/hour.

A train makes roundtrips between two cities at an average speed of 75 mph. What is the distance between the two cities, taking into consideration that the train does not travel at the same speed for both trips?

(1) The train takes 50 minutes to do one way.

(2) The train takes 60 minutes to do the other way, which is uphill.

Machine X and machine Y both produce screwdrives at their respective rates. What is the rate of the machines working together?

(1) Machine X can produce 200 screwdrivers in an hour and machine Y can produce as many in 2 more hours.

(2) Machine Y can produce 200 screwdrivers in 3 hours. Machine X is three times as fast as machine Y.

Train A and Train B are moving toward one another. How long does it takes for train A to pass by train B?

(1) The distance between train A and train B is 180 miles.

(2) Train A's rate is 45 mph and train B's rate is 60 mph.

Machine O working together with machine P produces telephones at a rate of 1056 per hour. How many telephones can machine O produce in an hour?

(1) It takes machine P four hours longer than machine O to produce 880 telephones.

(2) Machine P produces telephones at a rate of 176 telephones per hour.