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Question

A courier agent has to deliver post in 3 streets. Each street has 5 houses. He takes 2 min to deliver letter in each house and 5 min to travel between each house in each street. He takes 20 min to go to the next street. His day starts at 10 AM and finishes off by 3 PM, with no break in between.

If in each street only 2 houses has to be delivered with letter, what is the total time taken to deliver the letters?

The correct answer is

67 minutes

Calculating Courier Delivery Time

Let's break down the problem to calculate the total time taken by the courier agent to deliver letters in 3 streets, where only 2 houses in each street require delivery.

Understanding the Given Information

  • Number of streets: 3
  • Number of houses in each street: 5 (Note: This is general info, only 2 houses are relevant for delivery time calculation)
  • Number of houses to deliver letters in each street: 2
  • Time to deliver letter in each house: 2 minutes
  • Time to travel between each house in each street: 5 minutes
  • Time to travel between streets: 20 minutes
  • Courier start time: 10 AM
  • Courier finish time: 3 PM (Note: This information about start/end time and no break is not needed to calculate the total delivery time based on the specific task)

Calculating Time Taken for One Street

The courier has to deliver letters in 2 houses in each street. Let's consider one street.

  • First delivery: When the courier arrives at the first house in the street, he just needs to deliver the letter. Time taken = 2 minutes.
  • Travel to the second house: After delivering at the first house, he travels to the second house. Time taken = 5 minutes.
  • Second delivery: At the second house, he delivers the letter. Time taken = 2 minutes.

Total time spent in one street for 2 deliveries = Time for 1st delivery + Travel time + Time for 2nd delivery

Total time per street = $2 \text{ minutes} + 5 \text{ minutes} + 2 \text{ minutes} = 9 \text{ minutes}$.

This calculation assumes the travel is required *between* the houses where delivery is needed. Since he delivers to 2 houses, there is one travel segment between them.

Calculating Total Time Across All Streets

The courier visits 3 streets. He completes the deliveries in the first street, travels to the second, completes deliveries there, travels to the third, and completes deliveries there.

  • Time for Street 1 deliveries: 9 minutes
  • Time to travel from Street 1 to Street 2: 20 minutes
  • Time for Street 2 deliveries: 9 minutes
  • Time to travel from Street 2 to Street 3: 20 minutes
  • Time for Street 3 deliveries: 9 minutes

Total time taken = (Time for Street 1) + (Travel to Street 2) + (Time for Street 2) + (Travel to Street 3) + (Time for Street 3)

Total time = $9 \text{ minutes} + 20 \text{ minutes} + 9 \text{ minutes} + 20 \text{ minutes} + 9 \text{ minutes}$

Total time = $(9 \times 3) \text{ minutes} + (20 \times 2) \text{ minutes}$

Total time = $27 \text{ minutes} + 40 \text{ minutes}$

Total time = $67 \text{ minutes}$

Summary of Total Delivery Time

The calculation shows the total time required for the courier agent to deliver letters to 2 houses in each of the 3 streets, including travel time within and between streets, is 67 minutes.

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Important Questions from Quant Based Puzzle

  1. There are deers and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?
  2. A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there?
  3. A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has". A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?
  4. A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold?
  5. There are fourteen teams playing in a tournament. If every team plays one match with every other team, how many matches will be played in the tournament?

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