Question
A train started from station P and preceded towards
station Q at a speed of 72 km/h. 45 minutes later, another train started from station Q and preceded towards station P at 100 km/h. If the distance between the two stations is 398 km, at what distance from station P will the trains meet?Solution
Let the train will meet ‘t’ hours after the train from station Q started Distance travelled by train started from station P = 72 x 45/60 km Distance travelled by train started from station Q = (72 + 100) x t km Total distance between station P and Q = 398 km Now, 72 x (45/60) + (72 + 100) x t = 398 ⇒ 54 + 172t = 398 ⇒ 172t = 398 – 54 = 344 ⇒ t = 344/172 = 2 hours Distance travelled by train starting from station P at all meeting point = 54 + 72 x 2 = 198 km
If the volume of a cuboidal tank is 3240 m3 and the ratio of the length, width and height of tank is 6:5:4 respectively then find the height ...
The length, breadth and height of a storeroom are 12m, 7m and 10m respectively. If each box occupies 40 m3 of space, then how many boxes can ...
The length of a plot is seven times its breadth. A playground measuring 224 square metres occupies half of the total area of the plot. What is the lengt...
In an examination the average marks of Rohit is 55. If he got 15 more marks in science and 27 more marks in maths then his average would have been 61. F...
A cylindrical water tank has a radius of 7 m and a height of 10 m. How much water will the tank hold in liters?
A tank 60m long, 45m broad and 18m deep is dug in a ground 2000 m long and 45m wide. By how much will the level of the field rise if earth dug out of t...
The area of a circle is 1.54 cm2. Find the perimeter of the minor sector that is subtended by an angle of 90o. (take π = 22/7)
Find the area of sector of a circle whose radius is 21 cm and angle subtended by the sector at centre of circle is 45 ° .
Find the area of a regular hexagon whose side is half of the side of a square whose perimeter is 152 cm.
If base of a prism is square of side 12 cm & height is 22 cm . What is the volume of prism?
Relevant for Exams:
