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A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?
- a)280 km
- b)320 km
- c)250 km
- d)225 km
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the r...
Total Distance = 590 km
Distance in 40 min = 60*40/60=40km
Remaining=550 km
Time = 550/110=5hr
Reqd Distance = 50*5=250 km
Distance in 40 min = 60*40/60=40km
Remaining=550 km
Time = 550/110=5hr
Reqd Distance = 50*5=250 km
Most Upvoted Answer
A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the r...
Total Distance = 590 km
Distance in 40 min = 60*40/60=40km
Remaining=550 km
Time = 550/110=5hr
Reqd Distance = 50*5=250 km
Distance in 40 min = 60*40/60=40km
Remaining=550 km
Time = 550/110=5hr
Reqd Distance = 50*5=250 km
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Community Answer
A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the r...
Problem: Two trains start from Chennai and Bangalore towards each other. Chennai train travels at 50 kmph and Bangalore train travels at 60 kmph. The distance between Bangalore and Chennai is 590 km. At what distance from Chennai will the two trains meet?
Approach: Since the two trains are moving towards each other, their relative speed will be the sum of their individual speeds. We can use this relative speed and the distance between the two cities to calculate the time it will take for them to meet. Using this time, we can find the distance traveled by each train and hence the distance from Chennai where they will meet.
Solution:
Step 1: Calculate the relative speed of the two trains
Relative speed = Speed of Chennai train + Speed of Bangalore train
= 50 kmph + 60 kmph
= 110 kmph
Step 2: Calculate the time taken for the two trains to meet
Distance between Chennai and Bangalore = 590 km
Time taken = Distance/Relative speed
= 590/110
= 5.36 hours (or) 5 hours and 22 minutes
Step 3: Calculate the distance traveled by each train
Distance traveled by Chennai train = Speed x Time
= 50 x 5.36
= 268 km
Distance traveled by Bangalore train = Speed x Time
= 60 x 5.36
= 322 km
Step 4: Calculate the distance from Chennai where the two trains meet
Distance from Chennai = Distance traveled by Chennai train
= 268 km
Therefore, the two trains will meet at a distance of 268 km from Chennai. Hence, the correct answer is option (c) 250 km.
Approach: Since the two trains are moving towards each other, their relative speed will be the sum of their individual speeds. We can use this relative speed and the distance between the two cities to calculate the time it will take for them to meet. Using this time, we can find the distance traveled by each train and hence the distance from Chennai where they will meet.
Solution:
Step 1: Calculate the relative speed of the two trains
Relative speed = Speed of Chennai train + Speed of Bangalore train
= 50 kmph + 60 kmph
= 110 kmph
Step 2: Calculate the time taken for the two trains to meet
Distance between Chennai and Bangalore = 590 km
Time taken = Distance/Relative speed
= 590/110
= 5.36 hours (or) 5 hours and 22 minutes
Step 3: Calculate the distance traveled by each train
Distance traveled by Chennai train = Speed x Time
= 50 x 5.36
= 268 km
Distance traveled by Bangalore train = Speed x Time
= 60 x 5.36
= 322 km
Step 4: Calculate the distance from Chennai where the two trains meet
Distance from Chennai = Distance traveled by Chennai train
= 268 km
Therefore, the two trains will meet at a distance of 268 km from Chennai. Hence, the correct answer is option (c) 250 km.
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A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A train leaves Chennai for Bangalore at 2:15 p.m. and travels at the rate of 50 kmph. Another train leaves Bangalore for Chennai at 1:35 p.m. and travels at the rate of 60 kmph. If the distance between Bangalore and Chennai is 590 km at what distance from Chennai will the two trains meet?a)280 kmb)320 kmc)250 kmd)225 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
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