# Puzzle 70 | Tom and Jerry

Once upon a time Tom and Jerry thought of having a race on a circular track. The diameter of the track was 200 yards.

- They both started from same starting point. Tom being confident did not move until he found jerry has moved 1/8-th of the distance.
- Now Tom starts to move and meets jerry on the circular track. Tom finds that at this point of time ,he has moved only 1/6th of total distance. Now the fear of losing the race starts to disturb him.
- He starts wondering how much faster should he move comparatively to win the race. Please help him .

**Solution:** Tom has to move 85/4 times faster than his current speed to win the race.

**Explanation:**

Initially, Jerry has traveled 3/24 of the distance of circular track. When Tom and Jerry met, we can find that Jerry had moved a distance of 17/24 of the circular track. We can subtract 7/8th of total distance to 1/6th of total distance.

At this time, Tom had moved a distance of 4/24th distance of circular track. Now we can find that speed of Jerry is 17/4 times faster than that of Tom. So, basically Jerry is 17/4 times faster than Tom. Now, Tom has to move 5/6th of the track while Jerry has only 1/6th left. So, in order to win Tom has to move 5 times faster than jerry’s rate which is 85/4 to overcome .

Therefore, if Tom moves at a little faster speed than 85/4 times of previous speed, he would certainly win the race.

This puzzle is contributed by **Ankur Chaudhary.** Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above

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