Miles moving company

Miles is given the task of transporting 25 books from his classroom to the auditorium. If he can carry 4 books at a time, what is the minimum number of trips he needs to make to transport all of the books from the classroom to the auditorium?

This problem is posed by Miles S .

Details and assumptions

A trip refers to the journey from the classroom to the auditorium and back.


The answer is 7.

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8 solutions

Akshat Jain
Sep 23, 2013

Let's get this in brief. He has to carry 25 25 books, 4 4 at a time. Let's get to every trip-

\quad{ } TRIP \quad{ } TOTAL BOOKS TRANSPORTED

1 s t 1^{st} trip- 4

2 n d 2^{nd} trip 8

3 r d 3^{rd} trip 12

4 t h 4^{th} trip 16

5 t h 5^{th} trip 20

6 t h 6^{th} trip 24

7 t h 7^{th} trip 25

Therefore, total trips that he had to take are 7 \fbox{7} .

Priyansh Sangule
Sep 23, 2013

Since Miles can carry 4 4 books in 1 1 trip to auditorium ,

Thus he can carry 24 24 books in 6 6 trips .

But one book will be left ,

Thus , he has to take 1 1 round more for 1 1 more book that is left.

Therefore total rounds = 7 \boxed{7}

This is the basic idea of Pigeon hole principle.

Riazul Islam
Sep 25, 2013

If miles can carry up to 4 books. 4 x 6 = 24 24 + 1 (only one left) = 25 6 + 1 = 7 times

Dheeman Kuaner
Sep 24, 2013

Clearly , 25 is not divisible by 4. the biggest no. after 25 divisible by 4 is 24.now 24/4 = 6.So, he needs 6 trips to transport 24 books. hence he needs at least on trip more to carry 25 book, that is 6+1 = 7.

Aniruddha Tayade
Sep 24, 2013

Miles is given the task of transporting 25 books from classroom to the auditorium

at one time he can transport four books

so....

he has to make 6 trips to transport 24 books

for the remaining 1 book he has to make 1 another trip

so the minimum no.of trips is 7

Raja Fakirchandra
Sep 24, 2013

4 x 6 = 24

He would be left with 1 book after 6 trips.

So, he has to do one more trip.

So, total number of trips = 6+1 = 7.

Daniel Ferreira
Sep 23, 2013

Sabendo que: D = d . q + r; temos: 25 = 4 . 6 + 1. Com isso,

6 viagens + 1 viagem = 7 viagens!!

Ronald Salim
Sep 23, 2013

25/4=6.25

  =7

Moderator note:

Your solution should be written so that others who can't solve it can easily understand your thought process. This provides no explanation of the steps that are taken, nor does it justify why the logic is correct.

So, you mean-

6.25 = 7 6.25 = 7 ?

Logic-less.

Akshat Jain - 7 years, 8 months ago

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:D Logic-less

Priyansh Sangule - 7 years, 8 months ago

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