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?
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.
Important Questions from Quant Based Puzzle
A number is subtracted from 4 times of it and then, the number obtained is added to its (the resultant’s) next number. If this gives the answer as 91, what was the original number?
When twice of a number added to 3 is multiplied by 5 and added to the number itself, it gives 158. What is the square of that number?
In a class of 72 students, the number of boys is twice the number of girls. Find the number of boys.
Two years ago, T was twice as old as P. P is thrice as old as R. In five years, P will be 29. What is the present age of T?
When a number is added to its multiple of 5 and its square, the sum of these three numbers is 91. Find the number.
