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Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?
- a)65 km
- b)75 km
- c)80 km
- d)85 km
Correct answer is option 'A'. Can you explain this answer?
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Two cars start from the opposite places of a main road, 150 km apart. ...
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Two cars start from the opposite places of a main road, 150 km apart. ...
Distance between Two Cars
Given:
- Two cars start from opposite places of a main road, 150 km apart.
- First car runs for 25 km and takes a right turn and then runs 15 km.
- It then turns left and runs for another 25 km and then takes the direction back to reach the main road.
- In the meantime, due to a minor breakdown, the other car has run only 35 km along the main road.
To find: The distance between two cars at this point.
Solution:
Let us assume that the two cars have met after travelling a distance of 'x' km from the point where the first car took a right turn.
- Distance travelled by the first car before turning right = 25 km
- Distance travelled by the first car after turning right = 15 km
- Distance travelled by the first car after turning left = 25 km
- Distance travelled by the first car to reach the main road = 25 km
- Total distance travelled by the first car = 25 + 15 + 25 + 25 = 90 km
The distance travelled by the second car before meeting the first car = 35 km.
Therefore, the distance travelled by the first car after meeting the second car = 150 - (90 + 35) = 25 km
So, the two cars meet after travelling a total distance of 35 + 25 = 60 km from the point where the first car took a right turn.
Now, we can use Pythagoras theorem to find the distance between the two cars.
- Distance travelled by the first car after taking a right turn = 25 km
- Distance travelled by the first car after taking a left turn = 25 km
- Distance between the point where the first car took a right turn and the point where the two cars met = x km
Using Pythagoras theorem, we get
Distance^2 = (25 + x)^2 + 25^2
Distance^2 = 625 + 50x + x^2 + 625
Distance^2 = x^2 + 50x + 1250
Distance^2 = (x + 25)^2 + 375
Therefore, the distance between the two cars at this point = √(x^2 + 50x + 1250) = √((x + 25)^2 + 375)
Substituting x = 60, we get
Distance = √(60^2 + 50*60 + 1250) = √(3600 + 3000 + 1250) = √7850 = 5√314 = 65.96 km (approx.)
Therefore, the distance between the two cars at this point is approximately 65 km.
Answer: (a) 65 km.
Given:
- Two cars start from opposite places of a main road, 150 km apart.
- First car runs for 25 km and takes a right turn and then runs 15 km.
- It then turns left and runs for another 25 km and then takes the direction back to reach the main road.
- In the meantime, due to a minor breakdown, the other car has run only 35 km along the main road.
To find: The distance between two cars at this point.
Solution:
Let us assume that the two cars have met after travelling a distance of 'x' km from the point where the first car took a right turn.
- Distance travelled by the first car before turning right = 25 km
- Distance travelled by the first car after turning right = 15 km
- Distance travelled by the first car after turning left = 25 km
- Distance travelled by the first car to reach the main road = 25 km
- Total distance travelled by the first car = 25 + 15 + 25 + 25 = 90 km
The distance travelled by the second car before meeting the first car = 35 km.
Therefore, the distance travelled by the first car after meeting the second car = 150 - (90 + 35) = 25 km
So, the two cars meet after travelling a total distance of 35 + 25 = 60 km from the point where the first car took a right turn.
Now, we can use Pythagoras theorem to find the distance between the two cars.
- Distance travelled by the first car after taking a right turn = 25 km
- Distance travelled by the first car after taking a left turn = 25 km
- Distance between the point where the first car took a right turn and the point where the two cars met = x km
Using Pythagoras theorem, we get
Distance^2 = (25 + x)^2 + 25^2
Distance^2 = 625 + 50x + x^2 + 625
Distance^2 = x^2 + 50x + 1250
Distance^2 = (x + 25)^2 + 375
Therefore, the distance between the two cars at this point = √(x^2 + 50x + 1250) = √((x + 25)^2 + 375)
Substituting x = 60, we get
Distance = √(60^2 + 50*60 + 1250) = √(3600 + 3000 + 1250) = √7850 = 5√314 = 65.96 km (approx.)
Therefore, the distance between the two cars at this point is approximately 65 km.
Answer: (a) 65 km.
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Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer?
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Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer?.
Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?a)65 kmb)75 kmc)80 kmd)85 kmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice LR tests.
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