English

A man started his journey on his car from location A and came back. The given graph shows his position at different times during the whole journey. (a) At what time did he start and end his - Mathematics

Advertisements
Advertisements

Question

A man started his journey on his car from location A and came back. The given graph shows his position at different times during the whole journey.

  1. At what time did he start and end his journey?
  2. What was the total duration of journey?
  3. Which journey, forward or return, was of longer duration?
  4. For how many hours did he not move?
  5. At what time did he have the fastest speed?

Graph
Advertisements

Solution

Analysing the graph carefully, we observe that

  1. He started his journey at 5:30 AM and end at 6 PM.
  2. Total duration of journey was 12:30 h.
  3. His forward journey is of duration 8:30 h and return journey is of duration 4 h. Forward journey was of longer duration.
  4. He did not move from 6:30 AM to 9:30 AM and 10 AM to 1 PM. So, he did not move for 6 h.
  5. He have the fastest speed at 1 PM.
shaalaa.com
  Is there an error in this question or solution?
Chapter 12: Introduct To Graphs - Exercise [Page 390]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 12 Introduct To Graphs
Exercise | Q 70. | Page 390

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

State whether True or False. Correct those are false.

The coordinates of the origin are (0, 0).


The x-coordinate of any point lying on the y-axis will be ______.


The ordinate of a point is its distance from the y-axis.


The coordinates of the origin are (0, 0).


Match the coordinates given in Column A with the items mentioned in Column B.

Column A Column B
(1) (0, 5) (a) y coordinate is 2 × x - coordinate + 1.
(2) (2, 3) (b) Coordinates of origin.
(3) (4, 8) (c) Only y–coordinate is zero.
(4) (3, 7) (d) The distance from x-axis is 5.
(5) (0, 0) (e) y coordinate is double of x-coordinate.
(6) (5, 0) (f) The distance from y-axis is 2.

Find the coordinates of all letters in the graph given below.


Explain the situations represented by the following distance-time graph.


Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.

Point (x, y)
A (1, 1)
B (4. 4)
C (8, 4)
D (5, 1)

     Table I

Point (0.5x, 0.5y)
E (0.5, 0.5)
F  
G  
H  

     Table II

Point (2x, 1.5y)
J (2, 1.5)
K  
L  
M  

    Table III

Draw parallelograms EFGH and JKLM on the same graph paper.

Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.


Observe the given graph carefully and complete the table given below.

x 1 2 3 4 5
y          


This graph shows the per cent of students who dropped out of school after completing High School. The point labelled A shows that, in 1996, about 4.7% of students dropped out.

  1. In which year was the dropout the rate highest? In which year was it the lowest?
  2. When did the per cent of students who dropped out of high school first fall below 5%?
  3. About what per cent of students dropped out of high school in 2007? About what per cent of students stayed in high school in 2008?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×