top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

The group now have 14 miles left, how many miles have they walked?

0 votes
1,223 views

A hiking group are on a five day expedition.

On the first day they cover one quarter of the total distance.

The next day they cover one quarter of what is left.

The following day they cover two fifths of the remainder and on the fourth day half of the remaining distance.

posted Aug 28, 2014 by Devyani

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes

they have traveled 68.96 miles

answer Nov 5, 2014 by Kshitij Maloo
–1 vote

APPROXIMATELY 30 MILES.
let the total distance be x.
day 1=x/4.
day 2=1/4*3x/4.
day 3=2/5*1/4*3x/4.
day 4=1/2*2/5*1/4*3x/4.
day 5=14.
therefore day1 +2+3+4+5=x
=> x/4+1/4*3x/4+2/5*1/4*3x/4+1/2*2/5*1/4*3x/4+14=x
LCM=160.
75*x=2240.
x~~30 miles

answer Dec 21, 2014 by Abhikarsh Gupta



Similar Puzzles
0 votes
How many miles have they travelled?

A family have been on a car journey to their holiday destination for four hours. In the first hour they covered one fifth of the total distance.

The next hour they covered one third of what was left.

The following hour they covered one quarter of the remainder and in the fourth hour half of the remaining distance.

They still have another 18 miles left. How many miles have they travelled?

+3 votes
How many miles have they walked?

A group on a sponsored hike covered one eighth of the total distance on the first day.

The next day they covered one quarter of what was left.

The following day they covered two fifths of the remainder and on the fourth day half of the remaining distance.

The group now have 12 miles left.

How many miles have they walked?

0 votes
A cycling group are on a five day ride for charity. On the first day ...............How many miles have they travelled?

A cycling group are on a five day ride for charity.

On the first day they cover one third of the total distance, the next day they cover one third of what is left, the following day they cover one quarter of the remainder and on the fourth day they cover half of the remaining distance.

The group now have 15 miles left to cycle.

How many miles have they travelled?

+1 vote
After some rapid calculations, Margaret was able to figure out how many campers were going to the picnic. Can you?

Camp Pineveiw's cook, Margaret Johnson, was just about to begin preparing the picnic lunch for all the campers. She already knew she needed to fill 55 bowls of the same size and capacity with the same amount of food. When she was done, she decided to read the guidelines for the picnic, just out of curiosity. The guidelines said:

  1. Every camper gets their own bowl of soup.
  2. Every two campers will get one bowl of spaghetti to share.
  3. Every three campers will get one bowl of salad to share.
  4. All campers are required to have their own helping of salad, spaghetti, and soup.

After some rapid calculations, Margaret was able to figure out how many campers were going to the picnic. Can you?

+2 votes
How many candies did Mr. Kandala have left when the doorbell rang?

Halloween was almost over, and Mr. Kandala had less than 20 candies left. When the doorbell rang, he thought he would give all the candies away. When he opened the door, there were two trick or treaters. He wanted to give away the candies evenly, but he noticed that when he divided the candies in two, there was one left over. At that point, he saw another trick or treater behind the first two. He tried to divide the candies evenly among the three of them, but again one was left over. Finally, another trick or treater came to his door, making it four trick or treaters altogether. Mr. Kandala still had one candy left over after dividing the left over candies in fours.

How many candies did Mr. Kandala have left when the doorbell rang?

...