Question

Prove that if a line is drawn parallel to one side of a triangle to intersect the other two

sides in distinct points, then the other two sides are divided in the same ratio.

4

37 A train covers a distance of 360 km at a uniform speed. Had the speed been 5km/hour

more, it would have taken 48 minutes less for the journey. Find the original speed of the

train.

OR

Solve the following equation:



ଵ

௫

-

ଵ

௫ିଶ

= 3, ݔ ≠ 0, 2

4

38 A petrol tank is in the form of a frustum of a cone of height 20 m with diameters of its

lower and upper ends as 20 m and 50 m respectively. Find the cost of petrol which can

fill the tank completely at the rate of Rs. 70 per litre. Also find the surface area of the

tank.

OR

Water is flowing at the rate of 15km/hour through a pipe of diameter 14cm into a

cuboidal pond which is 50m long and 44m wide. In what time will the level of water in the

pond rise by 21cm?

4

39 The angle of elevation of an airplane from a point on the ground is 600

. After a flight of

30 seconds, the angle of elevation becomes 300

. If the airplane is flying at a constant

height of 3000√3 m, find the speed of the airplane.

4

40 Daily wages of 110 workers, obtained in a survey, are tabulated below:

Compute the mean daily wages and modal daily wages of these workers.

Daily

Wages

(in Rs.)

100-120 120-140 140-160 160-180 180-200 200-220 220-240

Number

of

Workers

10 15 20 22 18 12 13​

Answer 1

Answer:

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Answer 2

Answer:

i don,t know

Step-by-step explanation: