Question

A train runs constantly at a speed of 120 km/hr.
Draw a time – distance graph for this situation. Find the
(i) time taken to cover 360 km.
(ii) distance covered in $6\frac{1}{2}$ hours.

• A. 2 hrs and 780 km
• B. 2 hrs and 720 km
• C. 3 hrs and 780 km
• D. 3 hrs and 720 km

Answer 1

The correct option is C 3 hrs and 780 km

Given, the train runs constantly at a speed of 120 km/hr.
i.e For 1 hour = 1$\times$120 km = 120 km
2 hours = 2$\times$120 = 240 km
3 hours = 3$\times$120 = 360 km
4 hours = 4$\times$120 = 480 km
5 hours = 5$\times$120 = 600 km
6 hours = 6$\times$120 = 720 km
7 hours = 7$\times$120 = 840 km

Hour(in. hr)	1	2	3	4	5	6	7
Distance(in. km)	120	240	360	480	600	720	840

Take a suitable scale
1) Mark the number of hours on the x -axis.
2) Mark the distance in Km on the y-axis.
3) Plot the points (1,80) (2,160) (3,240) (4,320) and (5,400).
4) Join the points and get a straight line.
5) Form the graph.(i) Time taken to cover 360 km is 3 hrs.
(ii) The distance covered in $6\frac{1}{2}$ hrs 780 km.