IMAT 2012 Q7 [Cinema]

Alice works until 5pm each day from Monday to Friday. On Friday she is planning to go to the cinema with friends. There is a local bus service which passes her workplace, home and cinema. Part of the bus timetable is shown in the table below. Alice plans to take the bus home, where she will get ready to go to the cinema and then she will catch the bus to get to the cinema. It will take Alice 45 minutes to get ready and she will also need 10 minutes when she reaches the cinema to buy her ticket before a film starts. Films start every 15 minutes starting from 6pm.

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What is the earliest time that she can watch a film?

A. 18:15
B. 18:30
C. 18:45
D. 19:00
E. 19:15

Simple steps to solve word problems:

  • Underline key information
  • Determine what they are trying to ask, and what you will need to solve it
    1. Eliminate any non-essential information
  • Draw a picture, graph, or equation
    1. In moments of high stress like exam taking, always work with the paper they give you to avoid careless mistakes.
  • Solve.

First, we know she can take the earliest bus after 17:00 because this is when her work end, so she can take the 17:04. Then, we see that she will arrive home by 17:33. We add 45 min here because this is how long she will take to get ready.

17:33 + 0:45 = 18:18

The first bus after this time is at 18:33. It will arrive at the cinema at 18:58. Now we know it will take her 10 minutes to buy her ticket. So any movie after 19:08 will work. If films start every 15 minutes after 18:00, then the first one she can watch is at 19:15.

Therefore E is the answer.