In a race, a competitor has to collect 6 apples which are kept in a straight line On a track and a bucket is placed at the beginning of the track which is a starting point. The condition is that the competitor can pick only one apple at a time, run back with it and drop it in the bucket. If he has to drop all the apples in the bucket, how much total distance he has to run if the bucket is 5 meters from the first apple and all other apples are placed 3 meters apart?
- A40 m
- B50 m
- C150 mCorrect
- D75 m
Explanation
To solve this, we calculate the distance for each of the 6 apples. Since the competitor must pick an apple and return to the bucket, the distance for each trip is doubled.
Distance to the first apple is 5 meters. Round trip is 10 meters. Distance to the second apple is 5 plus 3, which is 8 meters. Round trip is 16 meters. Distance to the third apple is 8 plus 3, which is 11 meters. Round trip is 22 meters. Distance to the fourth apple is 11 plus 3, which is 14 meters. Round trip is 28 meters. Distance to the fifth apple is 14 plus 3, which is 17 meters. Round trip is 34 meters. Distance to the sixth apple is 17 plus 3, which is 20 meters. Round trip is 40 meters.
To find the total distance, we add these values: 10 plus 16 plus 22 plus 28 plus 34 plus 40 equals 150 meters.
Therefore, the correct option is C.
Related questions
More UPSC Prelims practice from the same subject and topic.
- Prelims 2016CSATQuantitative Aptitude
A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintai…
- Prelims 2016CSATQuantitative Aptitude
A and B walk around a circular park. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many time…
- Prelims 2016CSATQuantitative Aptitude
There are five hobby clubs in a college — photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess gr…
- Prelims 2016CSATQuantitative Aptitude
There are some nectar-filled flowers on a tree and some bees are hovering on it. If one bee lands on each flower, one bee will be left out. If two bees land on each flower, one flower will be left out…
- Prelims 2016CSATQuantitative Aptitude
There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per out of which 5% are unfit for sale. In how many days will the order be …
- Prelims 2016CSATQuantitative Aptitude
A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of…