A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10km/h. Two hours later, the other group leader left the campsite in a motorboat. He traveled at an average rate of 22km/h.
a. How long after the canoe left the campsite did the motorboat catch up with it?
b. How long did the motorboat travel?
2006-09-16 23:24:29 · 6 answers · asked by Unknown User 2 in Education & Reference ➔ Primary & Secondary Education
Equation of the canoe travel:
x1 = v1*t1
Eq of the motorboat:
x2 = v2*t2
v1 = speed of canoe = 10km/h
v2 = speed of motorboat = 22km/h
Since the motorboat leaves 2 hours later, t2 = t1 - 2
When they encounter x1 = x2
This gives the equation : v1*t1 = v2*(t1 - 2)
Resolving this:
10*t1 = 22*(t1 - 2)
10*t1 = 22*t1 - 44
12*t1 = 44
t1 = 44/12 = 11/3 hours or 11/3*60 = 660/3 = 220 minutes
So the motorboat catches up aftre 220 minutes!!
The distance made after 220 minutes or 11/3 hours:
x2 = v2*t2 = 22*11/3 = 80.66666... km
2006-09-17 00:02:38 · answer #1 · answered by branquelo 3 · 1⤊ 0⤋
A. 3 hr 40 min
B 36.66 km in 1 hr 40 min
2006-09-23 11:13:57 · answer #2 · answered by c90 4 · 0⤊ 0⤋
A group of bears had 20 bowls of porridge each. they gave 6 of their bowls each to goldilocks, gave 2 each to to paper man. divided 3 bowls each into 6 more bowls and then jumped up and down on the spot fo half an hour, how many papers did the paper man deliver to the bears and what was on the front page?
2006-09-16 23:32:00 · answer #3 · answered by EJ 2 · 1⤊ 1⤋
(a) motor boat will catch up after 3 hrs 40min
(b) motor boat will travel 36.7 km
(i) In first two hrs the canoe travelled 20 kms .(motor boat starts after this)
speed of canoe is 10 kms per hr. so for 2 hr (10 + 10 = 20)
(ii) next one hr motor boat travelled 22 kms and canon travelled 30 kms (total time is three hrs now)
speed of boat is 22 kms per hr so for 1 hr 22 kms
speed of canoe is 10 kms per hr. so for 3 hr (10 + 10 +10 = 30)
(ii) in next half an hour canoe travelled 35 kms and motor boat travelled in 33 kms (total time is 3hours 30 min now)
speed of boat is 22 kms per hr so for 1 1/2 hrs (22 + 22/2 = 33)
speed of canoe is 10 kms per hr. so for 3 1/2 hrs (10 + 10 + 10 + 10/2 = 35)
(iii) in next ten minutes canoe travelled 36.7 km and motor boat travelled 36.7 kms (total time is 3 horus 40 min now) both meet each other at this point.
speed of boat is 22 kms per hr so in 1 min it travels .37 kms, so in ten minutes it tavels 3.7 kms. so for 3 hrs 40 min (33 + 3.7 = 36.7 kms)
speed of canoe is 10 kms per hr. so for in one min it travels .17 kms so in ten minutes it travels 1.7 kms so in 3 hrs 40 min (35 +1.7 = 36.7 kms)
2006-09-20 17:58:53 · answer #4 · answered by danish d 1 · 0⤊ 0⤋
and two points for answering the question in the first place
2006-09-16 23:32:25 · answer #5 · answered by mr. Bob 5 · 0⤊ 1⤋
yay now i have another 2 points to add to my new collection
2006-09-16 23:35:48 · answer #6 · answered by guitar_girl 3 · 0⤊ 1⤋