Question

At a bus station, a bus starts at 9:30 in the morning and travels at a speed of 35 km/h. Another bus from another station, 20 km away, starts at 10:30 and travels at a speed of 30 km/h. Find the distance where they meet graphically?

• A. 140

Answer 1

The correct option is A 140
Plot the graph for the first bus.

The first bus is travelling at a speed of 35 km/h which means it is travels 35 km in one hour.

The distance travelled by first bus when second bus started travelling = 35 km

The coordinates are (1,35).

In the next hour, it will be at (1 + 1,35 + 35) = (2,70)

By using this two points, plot the graph:


The second bus starts at a distance of 20 km away and at a speed of 30 km/h.

At t = 0, the coordinates are (0, 20).

After 1 h, it will be at (0 + 1,20 + 30) = (1,50)

Plot the graph for the above, we get:

$\therefore$ Both the buses meet at 140 km.