Question
Which of the following pair of symbols will define the
relation between Quantity I and Quantity II Quantity 1: A boat covers 60 km upstream in 6 hours and the speed of the stream is 4 km/h. What is the speed of the boat in still water? Quantity 2: A boat covers 80 km downstream in 5 hours, and the speed of the stream is 5 km/h. What is the speed of the boat in still water?Solution
For Quantity 1: Let the speed of the boat in still water be b. Upstream speed = b - 4 km/h 60/(b - 4) = 6 ⟹ b - 4 = 10 ⟹ b = 14 km/h Quantity 1 = 14 km/h For Quantity 2: Let the speed of the boat in still water be b. Downstream speed = b + 5 km/h 80/(b + 5) = 5 ⟹ b + 5 = 16 ⟹ b = 11 km/h Quantity 2 = 11 km/h Correct option: a) Quantity 1 > Quantity 2
AC and CE are the medians of triangle ABD and ACD respectively. If area of triangle ACE is 15 cm 2 , then find the area of triangle ABD.
B1 is a point on the side AC of ∆ ABC and B1B is joined. line is drawn through A parallel to B1B meeting BC at A1 and another line is drawn through C ...
O and C are the respectively orthocentre and circumcentre of ∆PQR. The line PO is extended which intersect line QR at S. such that, ∠QCR = 140°, �...
Find the area of triangle having sides 7 m, 24 m, and 25 m.
In triangle GHI, a point J lies on side HI such that ∠GJH = ∠GJI. If GH = 50 cm, GI = 30 cm, and HI = 40 cm, find the length of HJ.
In a given Figure, ON ∥ QR and MN ∥ OR.
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 9 cm, BC = 12 cm then what is BD:CD?
PQRS is a cyclic quadrilateral of which PQ is the diameter. Diagonals PR and QS intersect at A. If SQR = 25°, then angle PAS measures
- Two chords PQ and RS intersect each other at point ‘A’ inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
If the points P(2, 3), Q(5, a) and R(6, 7) are co-linear, then find the value of 'a'.
