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प्रश्न
Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.
- At what time did the person start from his home?
- How much distance did he travel in the first four hours of his journey?
- What was he doing from 3 pm to 5 pm?
- What was the total distance travelled by him throughout the day?
- Calculate the distance covered by him in the first 8 hours of his journey.
- At what time did he cover 16 km of his journey?
- Calculate the average speed of the man from (a) A to B (b) B to C.
- At what time did he return home?
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उत्तर
Observing the graph carefully, we conclude that
- At 10 AM, the person start from his home.
- In first 4 h (i.e. till 2 PM), he travelled 16 km.
- He was taking rest from 3 PM to 5 PM.
- The total distance covered by the person throughout the day was 40 km, i.e. 20 km from A to S and then 20 km from C to D.
- The distance covered by him in the first 8 h i.e. from 10 AM to 6 PM was 24 km.
- He covered 16 km of his journey at 2 PM.
- The total distance covered from A to S = 20 km and the time taken to travel from A to B = 5 h
∴ Average speed of the man from A to B = `20/5` = 4 km/h and average speed from S to C = `0/2` = 0 km/h - He returned home at 10 PM.
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संबंधित प्रश्न
Decide which of the following statements is true and which is false. Give reasons for your answer.
Points whose x and y coordinates are equal, lie on a line passing through the origin.
______ displays data that changes continuously over periods of time.
We need ______ coordinates for representing a point on the graph sheet.
Match the ordinates of the points given in Column A with the items mentioned in Column B.
| Column A | Column B |
| (a) (7, 0) | (i) The ordinate is double the abscissa. |
| (b) (11, 11) | (ii) The ordinate is zero. |
| (c) (4, 8) | (iii) The ordinate is equal to the abscissa. |
| (d) (6, 2) | (iv) The abscissa is double the ordinate. |
| (e) (0, 9) | (v) The abscissa is triple the ordinate. |
| (f) (6, 3) | (vi) The abscissa is zero. |
Plot the given points on a graph sheet.
- (5, 4)
- (2, 0)
- (3, 1)
- (0, 4)
- (4, 5)
Write the x-coordinate (abscissa) of the given point.
(0, 5)
The table given below shows the temperatures recorded on a day at different times.
Observe the table and answer the following questions.
- What is the temperature at 8 am?
- At what time is the temperature 3°C?
- During which hour did the temperature fall?
- What is the change in temperature between 7 am and 10 am?
- During which hour was there a constant temperature?
The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A.
- At what time did cyclist II rest? How long did the cyclist rest?
- Was cyclist II cycling faster or slower after the rest?
- At what time did the two cyclists meet?
- How far had cyclist II travelled when he met cyclist I?
- When cyclist II reached town A, how far was cyclist I from town B?
Observe the given graph carefully and complete the table given below.
| x | 1 | 2 | 3 | 4 | 5 |
| y |
Consider this input/output table.
| Input | 1 | 2 | 4 | 5 | 7 |
| Output | 2 | 5 | 11 | 14 | 20 |
- Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
- Use your graph to predict the outputs for inputs of 3 and 8.
