Man jogs 1.5 m/s.
Dog waits 1.8 s then runs at 3.7 m/s.
How far will they have each travelled when dog catches up to man?
Answer in units of m
distances are the same
distance = time*speed
1.5t = 3.7(t-1.8)
t = 3 sec
check:
1.5*3 = 4.5
3.7*1.2 = 4.44
accurate to within rounding
To find out how far the man and the dog will have traveled when the dog catches up to the man, we can use the formula:
Distance = Speed × Time
First, let's calculate the time it takes for the dog to catch up to the man.
The man is jogging at a speed of 1.5 m/s, and the dog starts running after waiting for 1.8 seconds. Therefore, the dog has to cover the initial gap between them.
Distance between them = Speed of the man × Time waited by the dog
= 1.5 m/s × 1.8 s
Next, let's calculate the time it takes for the dog to catch up to the man after closing the initial gap.
The dog is running at a speed of 3.7 m/s, and we need to find the time it would take for the dog to cover the distance between them.
Time taken by the dog to catch up = Distance between them / Speed of the dog
= (1.5 m/s × 1.8 s) / 3.7 m/s
Finally, we can find the total distance traveled by both the man and the dog when the dog catches up to the man.
Distance traveled by the man = Speed of the man × Time taken by the dog to catch up
= 1.5 m/s × (1.5 m/s × 1.8 s) / 3.7 m/s
Distance traveled by the dog = Speed of the dog × Time taken by the dog to catch up
= 3.7 m/s × (1.5 m/s × 1.8 s) / 3.7 m/s
Adding these two distances will give us the total distance:
Total distance = Distance traveled by the man + Distance traveled by the dog
Now, we can calculate the total distance traveled by the man and the dog.