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A train T1, starts from Ahmedabad to Mumbai at 7 am and reaches at 12 noon. A second train T2, starts at
7 am from Mumbai reaches Ahmedabad at 1 pm. When did the two trains cross each other?
(a) 10:13 am
(b) 10:00 am
(c) 9:43 am
(d) 9:35 am
Answers
Answer:
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Step-by-step explanation:
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Answer:
(c) 9:43 am
Step-by-step explanation:
Concept= Speed , Distance and Time
Given= Time of two trains
To find= Crossing over time
Explanation=
We have been given the information that a train T1, starts from Ahmedabad to Mumbai at 7 am and reaches at 12 noon.
A second train T2, starts at 7 am from Mumbai reaches Ahmedabad at 1 pm
Therefore time taken by Train,
T1 to reach Mumbai from Ahmedabad = 5hrs
T2 to reach Ahmedabad from Mumbai = 6hrs
Let distance between Ahmedabad and Mumbai be x
Speed of T1= x/5
Speed of T2= x/6
Relative speed= x/5+x/6= 11x/30
Time taken to cross will be the relative time= x/(Relative speed)
x/(11x/30)= 30/11
In minutes it will be 30/11 * 60= 163.63= 163 mins
Therefore 163 mins from train leaving at 7am.
163min= 120mins+ 43mins= 2hrs 43mins
so after 7am it is 7+ 2hrs43min= 9:43 am
Train cross each other at 9:43 am.
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