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12 Jan 2022, 05:15
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
86% (01:45) correct
14%
(02:08)
wrong
based on 123
sessions
History
Date
Time
Result
Not Attempted Yet
Two trains start from the station A and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting the second train has traveled 100 km more than the first. The distance between A and B is:
(A) 990 km
(B) 1200 km
(C) 1100 km
(D) 1440 km
(E) 1500km
(A) 990 km
(B) 1200 km
(C) 1100 km
(D) 1440 km
(E) 1500km
16 Jan 2022, 13:05
Kudos
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Speed of first train = 50kmph
Speed of second train = 60Kmph
Total distance between A and B = 110 kmph * 10 hrs = 1100 Km
Answer: Option C
Other method
Let both the trains meet after the t hrs.
Distance covered by first train in t hrs = 50 t
Distance covered by second train in t hrs = 60 t
Speed of second train = 60Kmph
- Difference between the speed of trains = 10 kmph
- Time taken to travel 100 km with the speed of 10 kmph = \(\frac{100}{10}\)= 10 hrs
Trains meet after the 10 hrs.
Total distance between A and B = 110 kmph * 10 hrs = 1100 Km
Answer: Option C
Other method
Let both the trains meet after the t hrs.
Distance covered by first train in t hrs = 50 t
Distance covered by second train in t hrs = 60 t
- It is given that
60 t – 50 t = 100 km
t = 10 hrs.
16 Jan 2022, 21:56
Kudos
Bookmarks
Distance = Rate * Time, therefore, Time = Distance / Rate
As illustrated in the problem, Train A and Train B travel X and X+100 KM respectively, for a certain time.
Therefore, X/50 = X+100/60 => X = 500
Total Distance travels by both trains = X + X + 100 = 2X + 100 = 1100 KM
Hope it helps!
Cheers!
As illustrated in the problem, Train A and Train B travel X and X+100 KM respectively, for a certain time.
Therefore, X/50 = X+100/60 => X = 500
Total Distance travels by both trains = X + X + 100 = 2X + 100 = 1100 KM
Hope it helps!
Cheers!
