Question

A hare and a tortoise competed in a 5 km race along a straight line. The hare is five times
faster than the tortoise. The hare mistakenly started perpendicular to the route. After a while
he realized his mistake, then turned and ran straight to the finish point. He arrived at the same
time as the tortoise. What is the distance (in km) between the hare's turning point and the finish
point?
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Answer 1

Answer:

Answer is 13 km ,

I will try my best to explain it.

Step-by-step explanation:

Since the race is 5km long and and Hare's speed is 5 times the tortoise, and both finished at the same time, this means that

When tortoise completed running 5 km, hare must've ran 25 km.

Now, it's given the hare ran in perpendicular direction to the actual finish point then turned and ran straight to it, so the paths in which tortoise and hare ran , together make a right angled triangle,. since we know one side is 5km(tortoise's straight path)

and the addition of the other two sides is 25 km, (hare's path) ,

the only Pythagoras triplet is 5,12,13 where 13 is the hypotenuse. and in this case , your answer.

5^2 + 12^2 = 169 (which is 13^2)

Hope this helps :)