Question
If a boat's downstream and upstream speeds are 30 km/hr
and 22 km/hr respectively, and it travels (x + y) km upstream in 10 hours when the stream speed is twice the regular one, what is the average of x and y?Solution
ATQ,
Let, speed of boat in still water and stream speed be B km/hour and s km/hour, respectively.
So, (B + s) = 30 … (i)
Also, (B – s) = 22 … (ii)
Solving equation (i), and (ii), we get,
B = 26 km/hour
s = 4 km/hour
According to question,
(x + y)/(B – 2s) = 10
(x + y) = 10 × (26 – 2 × 4) = 10 × 18 = 180 km
Therefore, average value of x and y = (x + y)/2 = 180/2 = 90 km
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 6cm, BC = 9cm then what is BD:CD?
- A tangent is drawn from an external point P to a circle, touching the circle at point Q such that PQ = 16cm. A secant PRS is also drawn from P, intersectin...
PQ and PR are the two chords of a circle. The tangents at Q and R meet at A. If ∠QPR = 64°, then the measure of ∠QAR is?
ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?
The area of a field in the shape of a hexagon is 2400 √ 3 m2  ? What will be the cost of fencing it at ₹18.50 per metre?
- In a ΔPQR, PS is the angle bisector of ∠RPQ. If PQ = 12 cm, RP = 21 cm and QR = 22 cm. Find the length of QS.
If the ratio of side of a ∆ is 3:4:5, and a ┴ from opposite vertex drawn to the biggest sides at D, if the length of biggest side is 10 then find ra...
Line AB is 24 m in length and is tangent to the inner one of the two concentric circles at point C. Points A and B lie on the circumferen...
Find the area of triangle having sides 3m, 4m, and 5m.
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 78 cm² , then the area of ∆EFG is?