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08 Jun 2021, 08:45
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E
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Difficulty:
35%
(medium)
Question Stats:
77% (02:27) correct
23%
(02:45)
wrong
based on 190
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Two trains start from A and B and travel towards B and A, respectively. Their speeds are 80 km/h and 95 km/h, respectively. When they meet, it is found that one train has travelled 165 km more than the other. What is the distance of A to B?
(A) 1,650 km
(B) 1,700 km
(C) 1,825 km
(D) 1,890 km
(E) 1,925 km
(A) 1,650 km
(B) 1,700 km
(C) 1,825 km
(D) 1,890 km
(E) 1,925 km
08 Jun 2021, 08:56
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Given: Two trains start from A and B and travel towards B and A, respectively. Their speeds are 80 km/h and 95 km/h, respectively. When they meet, it is found that one train has travelled 165 km more than the other.
Asked: What is the distance of A to B?
Since one train travelled 165 km more than the other
Relative speed = 95 - 80 = 15 km/h
Relative distance = 165 km
Time travelled = 165/15 = 11 hours
Distance between A to B = (80+95)*11 = 175*11 = 1925 km
IMO E
Asked: What is the distance of A to B?
Since one train travelled 165 km more than the other
Relative speed = 95 - 80 = 15 km/h
Relative distance = 165 km
Time travelled = 165/15 = 11 hours
Distance between A to B = (80+95)*11 = 175*11 = 1925 km
IMO E
08 Jun 2021, 09:19
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Let they meet after time t
For train from A,distance travel = 80t
For train from B, distance travel=95t
For same time interval, train from B travels 165km extra
95t-80t=165
t=165/15=11 hours
Total distance = distance by A + distance by B with respect to time-11 hours
=11(80+95)=1925 km
Posted from my mobile device
For train from A,distance travel = 80t
For train from B, distance travel=95t
For same time interval, train from B travels 165km extra
95t-80t=165
t=165/15=11 hours
Total distance = distance by A + distance by B with respect to time-11 hours
=11(80+95)=1925 km
Posted from my mobile device
