A jet left Toronto for Vancouver, travelling at a speed of 600 km/h. 17
At the same time, a jet left Vancouver for Toronto, travelling at a
speed of 800 km/h. If the distance between Toronto and
The
Vancouver is 3500 km, when will the jets pass each other?
How long does t take for the two jets to cover the distance?
since distance = speed * time, just find t such that
(600+800)t = 3500
To find out when the jets will pass each other, we can use the concept of relative speed. The two jets are moving towards each other, so their speeds will add up.
Let's assume that the time taken for the jets to pass each other is 't' hours.
Distance travelled by the first jet = speed * time = 600t km
Distance travelled by the second jet = speed * time = 800t km
The sum of the distances travelled by both jets should be equal to the total distance between Toronto and Vancouver, which is 3500 km.
So, 600t + 800t = 3500
Combining like terms, we get:
1400t = 3500
Dividing both sides of the equation by 1400, we find:
t = 3500 / 1400
Calculating the value, we get:
t = 2.5
Therefore, the jets will pass each other after 2.5 hours.
To determine when the jets will pass each other, we need to calculate the time it will take for both jets to cover a combined distance of 3500 km.
Let's consider the time it will take for the jet leaving Toronto (travelling at 600 km/h) to cover the distance between the two cities.
Distance = Speed x Time
3500 km = 600 km/h x Time
Dividing both sides of the equation by 600 km/h:
Time = 3500 km / 600 km/h
Time ≈ 5.83 hours
Now, let's consider the time it will take for the jet leaving Vancouver (travelling at 800 km/h) to cover the same distance.
Distance = Speed x Time
3500 km = 800 km/h x Time
Dividing both sides of the equation by 800 km/h:
Time = 3500 km / 800 km/h
Time ≈ 4.375 hours
Since the jets left at the same time, we need to find the point in time when the sum of their travel times is equal to the total time it took for the first jet to reach Vancouver (5.83 hours).
Total Time = Time taken by the jet leaving Toronto + Time taken by the jet leaving Vancouver
Substituting the values:
5.83 hours = Time taken by the jet leaving Toronto + 4.375 hours
Rearranging the equation:
Time taken by the jet leaving Toronto = 5.83 hours - 4.375 hours
Time taken by the jet leaving Toronto ≈ 1.455 hours
Therefore, the jets will pass each other approximately 1.455 hours (or 1 hour and 27 minutes) after they started their journey.