Question Details

Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fries at a time, and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However fries cannot be prepared in anticipation of future orders.

Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served. The table below gives the orders of three clients and the times at which they placed their orders:

Client No.TimeOrder
110:001 burger, 3 portions of fries, 1 order of ice cream
210:052 portions of fries, 1 order of ice cream
310:071 burger, 1 portion of fries

Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.


At what time is the order placed by Client 1 completely served?

Options

A

10:17

B

10:10

C

10:15

D

10:20

Show Answer

Correct Answer :

Option B

10:10

Solution :

The correct option is B (10:10).

Let us analyze the preparation steps for Client 1's order starting at 10:00:
- Client 1 orders: 1 burger (takes 10 mins), 3 portions of fries (takes 5 mins), and 1 ice cream (takes 2 mins).
- At 10:00, Anish starts preparing the burger. The burger will be ready at 10:10.
- Also at 10:00, Bani starts preparing the ice cream (completed at 10:02) and turns on the automatic fryer with 3 portions of fries (completed at 10:05). Since the fryer does not require constant attendance, Bani is free after 10:02.
- Since all items (ice cream at 10:02, fries at 10:05, and burger at 10:10) are ready by 10:10, the order is completely served at 10:10.

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