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Question 1 of 1
1. Question
Direction: In the following questions, two statements numbered I and II are given. On
solving them, we get question I and II respectively. Solve for both the quantities and
choose the correct option.
Quantity I: The length of a rectangle is twice the breadth. If its length is decreased by 4 cm and breadth is increased by 4 cm, the area of the rectangle is increased by 52 square cm. Find the length of the original rectangle?
Quantity II: Two trains 160 meters and 180 meters long are running in the same direction with speeds of 109 km/h and 73 km/h. In how much time (In second) will the first train cross the second?
Solution
4) Quantity I: Let breadth = x cm and length = 2x cm
According to the question
(2x – 4) × (x + 4) – 2x × x = 52
x = 17
So, length = 17 × 2 = 34 cm
Solution
4) Quantity I: Let breadth = x cm and length = 2x cm
According to the question
(2x – 4) × (x + 4) – 2x × x = 52
x = 17
So, length = 17 × 2 = 34 cm