Question
A total journey of 250 km is completed by Ravi partly by
boat at 25 km/h and the remaining by train at 50 km/h. If the whole trip took 6.5 hours, find the distance covered by Ravi by boat.Solution
ATQ,
Let the distance covered by boat be ‘d’ km.
Distance by train = (250 - d) km
So, (d/25) + [(250 - d)/50] = 6.5
Take LCM of 25 and 50 = 50
Multiply both sides by 50:
=> 2d + (250 - d) = 325
=> 2d + 250 - d = 325
=> d + 250 = 325
=> d = 325 - 250
=> d = 75
Therefore, Ravi travelled 75 km by boat.
In the given figure, ABC and MNC are two secants of a circle which intersect each other at C outside the circle. AN is the diameter of the Circle. If an...
A sector of a circle has a central angle of 60°. If the radius of the circle is 14 cm, what is the area of the sector?
Two chords AB and CD of a circle intersect at E such that AE = 3.4 cm, BE = 4.2 cm and CE = 2.6 cm. What is the approximate length of DE?
- Find the area of a circle whose radius is (3/4)ᵗʰ of the side of a square whose area is 1,600 cm². (Use π = 3.14)
In a circle, the length of a chord is 20 cm, and the perpendicular from the center to the chord divides it into two equal parts. If the distance from th...
A sector of a circle has a central angle of 120° and a radius of 10 cm. Find the area of the sector.
- The circumference of the circle is 88 cm while the length of the rectangle is 5 cm more than the radius of the circle. Find the perimeter of the rectangle ...
The circumference of the circle is 198 cm while the length of the rectangle is 12 cm more than the radius of the circle. Find the perimeter of the recta...
One chord of a circle is given as 18.5 cm. Then the radius (r) of the circle must be:
- In a circular field, the area is six times its circumference in terms of numerical value. Calculate the diameter of the field.
Relevant for Exams:
