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Question
At a bus station, a bus starts at 9:30 in the morning and travels at a speed of 35 mi/h. Another bus from another station, 20 mi away, starts at 10:30 and travels at a speed of 30 mi/h. Find the distance where they meet graphically.
- 140
- 140
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Solution
The correct option is A 140
Plot the graph for the first bus.
The first bus is traveling at a speed of 35 mi/h, which means that it travels 35 mi in one hour.
The distance traveled by first bus when second bus started traveling = 35 mi
The coordinates will be (1,35).
In the next hour, it will be at (1 + 1,35 + 35) = (2,70)
By using these two points, plot the graph:
The second bus starts at a distance of 20 mi away and at a speed of 30 mi/h.
At t = 0, the coordinates will be (0, 20).
After 1 h, it will be at (0 + 1,20 + 30) = (1,50)
Plot the graph for the above, we get,
∴ Both the buses meet at 140 mi.
Plot the graph for the first bus.
The first bus is traveling at a speed of 35 mi/h, which means that it travels 35 mi in one hour.
The distance traveled by first bus when second bus started traveling = 35 mi
The coordinates will be (1,35).
In the next hour, it will be at (1 + 1,35 + 35) = (2,70)
By using these two points, plot the graph:
The second bus starts at a distance of 20 mi away and at a speed of 30 mi/h.
At t = 0, the coordinates will be (0, 20).
After 1 h, it will be at (0 + 1,20 + 30) = (1,50)
Plot the graph for the above, we get,
∴ Both the buses meet at 140 mi.
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