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Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.?
Most Upvoted Answer
Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y...
when they meet first time they both combined have traveled entire distance say x, out of which Q travels 22..
when they meet second time, a total of 2 time the entire distance over and above the initial has been covered, so 3x..
If Q covers 22 in x, it will cover 3*22 = 66 in 3x..
But they meet 10 kms from A, so Q has traveled x+10...
x+10=66...x=56
Community Answer
Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y...
Problem Statement: Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.?
Solution:
Let's assume that the speed of bus X is 'x' km/hr and the speed of bus Y is 'y' km/hr.
When the two buses travel towards each other, their relative speed is the sum of their individual speeds. Therefore, we can write:
Relative speed = x + y
Distance travelled = 200 km
Time taken = 2 hours
Using the formula: distance = speed × time, we can write:
200 = (x + y) × 2
Simplifying the equation, we get:
x + y = 100 --- (1)
When the two buses travel in the same direction, their relative speed is the difference between their individual speeds. Therefore, we can write:
Relative speed = x - y
Distance travelled = 200 km
Time taken = 8 hours
Using the formula: distance = speed × time, we can write:
200 = (x - y) × 8
Simplifying the equation, we get:
x - y = 25 --- (2)
Solving equations (1) and (2) simultaneously, we get:
x = 62.5 km/hr
y = 37.5 km/hr
Therefore, the speed of Bus X is 62.5 km/hr and the speed of Bus Y is 37.5 km/hr.
Solution:
Let's assume that the speed of bus X is 'x' km/hr and the speed of bus Y is 'y' km/hr.
When the two buses travel towards each other, their relative speed is the sum of their individual speeds. Therefore, we can write:
Relative speed = x + y
Distance travelled = 200 km
Time taken = 2 hours
Using the formula: distance = speed × time, we can write:
200 = (x + y) × 2
Simplifying the equation, we get:
x + y = 100 --- (1)
When the two buses travel in the same direction, their relative speed is the difference between their individual speeds. Therefore, we can write:
Relative speed = x - y
Distance travelled = 200 km
Time taken = 8 hours
Using the formula: distance = speed × time, we can write:
200 = (x - y) × 8
Simplifying the equation, we get:
x - y = 25 --- (2)
Solving equations (1) and (2) simultaneously, we get:
x = 62.5 km/hr
y = 37.5 km/hr
Therefore, the speed of Bus X is 62.5 km/hr and the speed of Bus Y is 37.5 km/hr.
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Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.?
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Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.?.
Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.?.
Solutions for Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.? in English & in Hindi are available as part of our courses for Class 10.
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Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.?, a detailed solution for Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.? has been provided alongside types of Two towns P and Q are 200 km apart. Bus X starts from Town P and Bus Y starts from Town Q at the same time. If the two buses travel towards each other, they meet after 2 hours. If they travel in the same direction, they cross each other after 8 hours. Complete the following statements: (Assume that the speeds of the two buses are uniform.) The speed of Bus X is km/hr. The speed of Bus Y is km/hr.? theory, EduRev gives you an
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