Mathematics Quizzes Speed Time And Distance

Question:
The distance between two cities A and B is 330km. A train starts from A at 8 (a)m. and travels towards B at 60 km/hr. Another train starts from B at 9 (a)m. and travels towards A at 75 km/hr. At what time do they meet?

Option A):
None of these
Option B):
10 : 30 am.
Option C):
11 am.
Option D):
11 : 30 am.
Option E):
10 am.

Correct Answer is Option C):
11 am.

Explanation:
Distance travelled by first train in one hour
= 60 x 1 = 60 km
Therefore, distance between two train at 9 a.m.
= 330  60 = 270 km
Now, Relative speed of two trains = 60 + 75 = 135 km/hr
Time of meeting of two trains =270/135=2 hrs.
Therefore, both the trains will meet at 9 + 2 = 11 A.M.