TASK DEFINITION: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
PROBLEM: Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many q hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?
Options: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.

SOLUTION: c

PROBLEM: Problem: when jessica withdrew $ 200 from her bank account, her account balance decreased by 2 / 5. if she deposits an amount equal to 2 / 3 of the remaining balance, what will be the final balance in her bank account ?
Options: a. 300, b. 375, c. 400, d. 500, e. 575

SOLUTION: d

PROBLEM: Problem: a goods train runs at the speed of 72 km / hr and crosses a 270 m long platform in 26 sec. what is the length of the goods train ?
Options: a. 278, b. 166, c. 151, d. 250, e. 109

SOLUTION:
d