i need a little help with these problems...?

Question

can you please help me figure out these problems? like go through them step-by-step and and label the variables you use, if any? i think i know the answers but im not really sure...

1. manielle and ross were playing in the dirt and each found a caterpillar. they decided to race them, giving minelle's caterpillar a 2.5 foot head start from the starting line while ross' caterpillar began at the starting line. minelle's caterpillar travels 6 in. per minute and ross' travels 8 in. per minute. how far from the starting line were minelle's and ross' caterpillars, in that specific order, after 6 minutes of racing?
 a. 36 in, and 48 in. 
b. 36 in. and 78 in. 
c. 38.5 in. and 48 in. 
d. 66 in. and 48 in.

2. richard and conner just bought new pet turtles and are racing them in an obstacle course. the course is 3m long. richard's turtle moves at a rate of .25m per minute while conner's turtle moves at a rate of 20cm per minute. if both turtles start the obstacle course at the same time, who's turtles will win and by how much?
a. conner's turlte will win by 60cm
b. conner's turtle will win by .5m
c. richard's turtle will win by 40 cm
d. richard's turtle will win by .6m

Thanks~

iceman · Accepted Answer

1) let m and r represent  manielle's and ross' caterpillars respectively: 
distance = rate * time
d(m) = 6 * 6 + 2.5 * 12 
= 36 + 30
= 66 inches from starting line
d(r) = 8 * 6 
= 48 inches from stating line

d => answer

2)
let r and c represent  richard's and conner's turtles  respectively:
d = vt => t = d/v
t(r) = 3/0.25 = 12 minutes
t(c) = 3/0.2 = 15 minutes
so r wins by 3 minutes, but to find the distance we must find were c was at 12 minutes:
d(c) =  0.2 * 12 = 2.4 m
3 - 2.4 = 0.6 m => r won by 0.6 m 

d=> answer

Happy new year.

ranjankar · Answer

1) Minelle's caterpillar = 2.5' + 36 =  66"

Ross = 6 X 8 =  48"

Answer is d)

2) Richard's =  3 /0.25 = 12 minutes

Conner = 0.2m 

3 /0.2 = 15 minutes

Richard's turtle will win by 0.6m

Answer is d)

Anonymous · Answer

1) c
2) d

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i need a little help with these problems...?

3 Answers