A tortoise can run with a speed of 14.0 cm/s, and a hare can run 20 times as fas

Question

A tortoise can run with a speed of 14.0 cm/s, and a hare can run 20 times as fast. Ina race, they both start at the same time, but the hare stops torest for 1.0 minutes. The tortoisewins by a shell (25 cm).

(a) How long does the race take?
1 s
(b) What is the length of the race?
2 m

Explanation / Answer

Tortoise's speed: 14 cm/s Hare's speed: 20 * 14 cm/s = 280 cm/s t = the duration of the race, measured in seconds x = the length of the race, measured in centimeters Solve the system: 14t = x 280(t - 60) = x - 25 (1) 14t = x => t = x / 14 (2) 280(t - 60) = x - 25 => 280t - 16,800 = x - 25 => 280(x / 14) - 16,800 = x - 25 => 20x - 16,800 = x - 25 => 19x = 16,775 => x = 16,775 / 19 = 882.894737s ˜ 882.9 cm ˜ 8.829 m => t = (16,775 / 19) / 14 = 63.0639098 ˜ 63.1 s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.