Achilles was not fond of the way Xeno reported his race against the tortoise, so he asked Xeno to rewrite the riddle.
Xeno was convinced to give Achilles a headstart this time, but he changed the conditions of the race. For starters, he brought in a giant tortoise from the Galapagos Islands.
Achilles had a headstart of twenty-seven steps, and for every eight steps he took, the tortoise only took five. However, the tortoise had a larger gait than Achilles, so every two steps it took was equivalent to every five steps Achilles took.
How many steps did it take the tortoise to get to Achilles?
Answers
Answer:
30 steps
Explanation:
let tortoise take 2 steps to cover x m
Achilles will take 5 steps to cover x m
as Two steps of tortoise = five steps of Achilles.
Achilles took 27+8 steps ----- tortoise took 5 steps
distance covered= 7x meters ----- 2.5 x meters
27+8+8 ------ 5+5
8.6 x meters ------- 5 x meters
27+8+8+8 ------ 5+5+5
10.2x meters ------- 7.5 x meters
27+8+8+8+8 ------ 5+5+5+5
11.8 x meters ------- 10 x meters
27+8+8+8+8+8 ------ 5+5+5+5+5
13.4 x meters ------- 12.5 x meters
27+8+8+8+8+8+8 ------ 5+5+5+5+5+5
15 x meters ------- 15 x meters