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Places M and N are 90 km apart from each other on a national highway. A truck starts from M and another from N at the same time. If they go in the same direction, then they meet in 9 hours and if they go in opposite directions they meet in 9/7 hours. The speed of the trucks are _______.
- a)90 km/hr, 40 km/hr
- b)40 km/hr, 30 km/hr
- c)20 km/hr, 60 km/hr
- d)50 km/hr, 12 km/hr
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Places M and N are 90 km apart from each other on a national highway. ...
Let x km/hr be the speed of truck starting from M and y km/hr be the speed of truck starting from N.
Case I : If they meet at P.
⇒ 10 + y = x ...(1)
Case II : If they meet at P.
For M,
⇒ 70 = x + y ...(2)
Solving (1) and (2), we get
y = 30 km/hr and x = 40 km/hr
Case I : If they meet at P.
⇒ 10 + y = x ...(1)
Case II : If they meet at P.
For M,
⇒ 70 = x + y ...(2)
Solving (1) and (2), we get
y = 30 km/hr and x = 40 km/hr
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Places M and N are 90 km apart from each other on a national highway. ...
Given:
Distance between M and N = 90 km
When the trucks go in the same direction:
Time taken to meet = 9 hours
When the trucks go in opposite directions:
Time taken to meet = 9/7 hours
Let the speed of one truck be x km/hr and the speed of the other truck be y km/hr.
When the trucks go in the same direction:
Relative speed = (x - y) km/hr
Distance traveled = 90 km
Time taken = 9 hours
Using the formula:
Distance = Speed × Time
90 = (x - y) × 9
Simplifying the equation:
10 = x - y ...........(1)
When the trucks go in opposite directions:
Relative speed = (x + y) km/hr
Distance traveled = 90 km
Time taken = 9/7 hours
Using the formula:
Distance = Speed × Time
90 = (x + y) × (9/7)
Simplifying the equation:
10 = (x + y) × (1/7) ...........(2)
Solving equations (1) and (2) simultaneously:
x - y = 10
x + y = 70/7
Adding the two equations:
2x = 10 + 70/7
2x = (70 + 10/7)
2x = 80/7
Dividing by 2 on both sides:
x = (80/7) ÷ 2
x = 40/7
Substituting the value of x in equation (1):
40/7 - y = 10
Simplifying the equation:
y = 40/7 - 70/7
y = -30/7
Since speed cannot be negative, we take the positive value:
y = 30/7
Therefore, the speed of the trucks are:
Truck 1: x = 40/7 km/hr
Truck 2: y = 30/7 km/hr
So, the correct answer is option (b) 40 km/hr and 30 km/hr.
Distance between M and N = 90 km
When the trucks go in the same direction:
Time taken to meet = 9 hours
When the trucks go in opposite directions:
Time taken to meet = 9/7 hours
Let the speed of one truck be x km/hr and the speed of the other truck be y km/hr.
When the trucks go in the same direction:
Relative speed = (x - y) km/hr
Distance traveled = 90 km
Time taken = 9 hours
Using the formula:
Distance = Speed × Time
90 = (x - y) × 9
Simplifying the equation:
10 = x - y ...........(1)
When the trucks go in opposite directions:
Relative speed = (x + y) km/hr
Distance traveled = 90 km
Time taken = 9/7 hours
Using the formula:
Distance = Speed × Time
90 = (x + y) × (9/7)
Simplifying the equation:
10 = (x + y) × (1/7) ...........(2)
Solving equations (1) and (2) simultaneously:
x - y = 10
x + y = 70/7
Adding the two equations:
2x = 10 + 70/7
2x = (70 + 10/7)
2x = 80/7
Dividing by 2 on both sides:
x = (80/7) ÷ 2
x = 40/7
Substituting the value of x in equation (1):
40/7 - y = 10
Simplifying the equation:
y = 40/7 - 70/7
y = -30/7
Since speed cannot be negative, we take the positive value:
y = 30/7
Therefore, the speed of the trucks are:
Truck 1: x = 40/7 km/hr
Truck 2: y = 30/7 km/hr
So, the correct answer is option (b) 40 km/hr and 30 km/hr.
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Places M and N are 90 km apart from each other on a national highway. A truck starts from M and another from N at the same time. If they go in the same direction, then they meet in 9 hours and if they go in opposite directions they meet in 9/7hours. The speed of the trucks are _______.a)90 km/hr, 40 km/hrb)40 km/hr, 30 km/hrc)20 km/hr, 60 km/hrd)50 km/hr, 12 km/hrCorrect answer is option 'B'. Can you explain this answer?
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Places M and N are 90 km apart from each other on a national highway. A truck starts from M and another from N at the same time. If they go in the same direction, then they meet in 9 hours and if they go in opposite directions they meet in 9/7hours. The speed of the trucks are _______.a)90 km/hr, 40 km/hrb)40 km/hr, 30 km/hrc)20 km/hr, 60 km/hrd)50 km/hr, 12 km/hrCorrect answer is option 'B'. Can you explain this answer? 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 Places M and N are 90 km apart from each other on a national highway. A truck starts from M and another from N at the same time. If they go in the same direction, then they meet in 9 hours and if they go in opposite directions they meet in 9/7hours. The speed of the trucks are _______.a)90 km/hr, 40 km/hrb)40 km/hr, 30 km/hrc)20 km/hr, 60 km/hrd)50 km/hr, 12 km/hrCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Places M and N are 90 km apart from each other on a national highway. A truck starts from M and another from N at the same time. If they go in the same direction, then they meet in 9 hours and if they go in opposite directions they meet in 9/7hours. The speed of the trucks are _______.a)90 km/hr, 40 km/hrb)40 km/hr, 30 km/hrc)20 km/hr, 60 km/hrd)50 km/hr, 12 km/hrCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Places M and N are 90 km apart from each other on a national highway. A truck starts from M and another from N at the same time. If they go in the same direction, then they meet in 9 hours and if they go in opposite directions they meet in 9/7hours. The speed of the trucks are _______.a)90 km/hr, 40 km/hrb)40 km/hr, 30 km/hrc)20 km/hr, 60 km/hrd)50 km/hr, 12 km/hrCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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