The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that \(PD=\dfrac{1}{2}LD\) : What is the ratio between the distances covered by vehicles A and B in the time interval OL?
3 ∶ 4
Concept used:
Area of rectangle = Length × breadth
Area of triangle = (1/2) × Base × Height
Distance covered 'S' = Area of (V - T) graph
Calculations:
Displacement of vehicle A = Distance covered by A = Area of ΔOPL
⇒ (1/2) × OL × LP
⇒ (1/2) × OL × (LD + PD)
⇒ (1/2) × OL × (LD + LD/2)
⇒ (1/2) × OL × 3LD/2
⇒ 3/4 × OL × LD
Displacement of vehicle B = Distance covered by B = Area of rectangle OLDC
⇒ OL × LD
The ratio between the distances covered by vehicles A and B in the time interval OL
⇒ (Displacement of vehicle A)/Displacement of vehicle B
⇒ ((3/4) × OL × LD)/(OL × LD)
⇒ 3/4
∴ The ratio between the distances covered by vehicles A and B in the time interval OL is 3 ∶ 4
Important Questions from Bar Graph and Line Graph
The table given below shows the cost price and value of profit of 6 articles.
Articles Cost price Profit D 700 200 E 600 150 F 400 300 G 500 400 H 300 250 I 800 350 Which of the following statement is NOT correct?
I. The profit of D, E and F is 30.63 percent of the cost price of G, H and I.
II. The ratio of total cost price to the total profit is 1 ∶ 2.
A ________ is often drawn as a guide, so that a frequency polygon can be drawn over the top.
The table given below shows the cost price and selling price of 5 different articles.
Article Cost price Selling price A 500 600 B 700 750 C 600 800 D 400 700 E 300 800 What is the ratio of total cost price to total selling price of all articles?
The bar chart given below shows the number of boys and girls in 5 schools.
If the number of boys in school S6 are 30 percent more than the number of girls in school S1, then number of girls in schools S3 and S4 is what percentage of number of boys in schools S6 and S1 ? (correct to two decimal places)
The given histogram shows the heights of 232 students of an athletic club and their numbers.
Study the histogram carefully and answer the questions that follows.
If the histogram is to be presented by a line diagram, what would be the starting point and the end point of the line diagram?
