A tortoise can run with the speed of 11.0 cm/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. the tortoise wins by 10.0 cm.
How long (time) does the race take?
(HINT: assume the tortoise takes t seconds, the hare takes t-120sec and the distance = v* t
How long (time) does the race take?
(HINT: assume the tortoise takes t seconds, the hare takes t-120sec and the distance = v* t
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Let the race last for t sec.
Dist. of race by tortoise is 11*t cm
Dist. of race by hare is 11*20*(t-60) cm but he finishes 10 cm behind.
Thus: 11*t = 11*20*(t-60) +10
11*t = 220t-13200 +10
209t=13190
t=63.11 s
Dist. of race by tortoise is 11*t cm
Dist. of race by hare is 11*20*(t-60) cm but he finishes 10 cm behind.
Thus: 11*t = 11*20*(t-60) +10
11*t = 220t-13200 +10
209t=13190
t=63.11 s