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07 Jun 2020, 08:43
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Difficulty:
65%
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Question Stats:
53% (02:40) correct
47%
(02:50)
wrong
based on 17
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The distance between two stations , Dhaka and Chittagong is 450 km. A train starts at 4 p.m from Dhaka and moves towards Chittagong at an average speed of 60 km. Another train starts from Chittagong at 3.20 pm. and moves towards Dhaka at an average speed of 80 km . How far from Dhaka will the two trains meet ? and find out the time they will meet?
A) 120
B) 140
C) 145
D)170
E) 220
A) 120
B) 140
C) 145
D)170
E) 220
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07 Jun 2020, 08:53
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Distance travel by train starting from chittagong till 4:00 is 160/3 remaining distance that is 1190/3 they will cover in the ratio of their speed that 3:4. Distance from Dhaka they meet
= 1190/3×3/7
= 170 km
Posted from my mobile device
= 1190/3×3/7
= 170 km
Posted from my mobile device
lemonmelon
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07 Jun 2020, 09:09
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In questions involving objects starting at different times, it is better to normalize the start time. In other words, in this particular example, calculate the distance between the trains at 4pm. By that time, train from Chittagong has traveled for 40 mins and has covered 160/3 kms. Therefore, the distance left is: 450 - 160/3 = 1190/3 kms
Now, since trains are moving towards each other, relative speed is the sum of two speeds i.e. 140 km/hr. Therefore, time taken to meet = (1190/3) / (140) hr
In this time, train from Dhaka has traveled a distance of : 60 km/hr * (1190/3)/140 hr = 170 kms
Hope that helps.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
