SOLUTION: URGENT! 1. Mr. Honda anf Mr. Toyota arrange to meet on the highway connecting their hometown. Mr Honda drives at 45 kph and Mr. Toyoya at 35 kph.They leave their homes w/c are 1

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Question 321337: URGENT!
1. Mr. Honda anf Mr. Toyota arrange to meet on the highway connecting their hometown. Mr Honda drives at 45 kph and Mr. Toyoya at 35 kph.They leave their homes w/c are 120 kilometers apart at the same time. In how many hours will they meet?
2. There are two trains. The rabbit heads North on the expressway at 4 kph. Exactly 2 hours after, the Panther follows at a steady speed of 54 kph. How long does it tAke the panther overtake the rabbit?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
1. Mr. Honda and Mr. Toyota arrange to meet on the highway connecting their hometown.
Mr Honda drives at 45 kph and Mr. Toyoya at 35 kph.
They leave their homes w/c are 120 kilometers apart at the same time.
In how many hours will they meet?
:
Let t = travel time when they meet
when they meet, the total distance they travel will equal 120 km
write a dist equation, dist = speed * time
:
H's dist + T's dist = 120 km
45t + 35t = 120
80t = 120
t =
t = 1.5 hrs to mee
:
;
2. There are two trains.
The rabbit heads North on the expressway at 4 kph.
Exactly 2 hours after, the Panther follows at a steady speed of 54 kph.
How long does it tAke the panther overtake the rabbit?
:
Let t = the panther's travel time
then
(t+2) = the rabbit's travel time
:
When p overtakes r, they will have traveled the same distance
Write a distance equation, dist = speed * time
;
P's dist = r's dist
54t = 4(t+2)
:
54t = 4t + 8
:
54t - 4t = 8
:
50t = 8
t =
t = .16 hrs which is: .16*60 = 9.6 min to catch the unfortunate rabbit
;
But what about the train? Did the rabbit jump on the train and escape?