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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. Three years ago, the difference between the age of Ravish and the age of Kailash was 18 years. Three years from today, Ravish will be three times as old as Kailash. What is the present age of Ravish (in years)?

  2. Seven years from now, Anamika will be as old as Malini was 4 years ago. Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years. What is the present age of Anamika?

  3. An amount of ₹1,003 is to be distributed among A, B and C in the ratio of 11 : 23 : 25. How many rupees would B get more than A?

  4. In an exam of 80 questions, a correct answer gives 1 marks but a wrong answer deducts 1 marks, and if a question in not attempted there is no deduction in marks. If a student attempted only 80% of the question and got 32 marks, then how many questions did he answer correctly?

  5. The ratio of the present ages of Asha and Lata is 5 : 6. If the difference between their ages is 6 years, then what will be Lata’s age after 5 years?

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