The distance between two towns A and B is 545 km A train starts from town A at 8 A M and travels tow...........

Quantitative Aptitude ( CCS) Problems on trains

The distance between two towns A and B is 545 km. A train starts from town A at 8 A.M. and travels towards town B at 80 km/hr. Another train starts from town B at 9 : 30 A.M. and travels towards town A at 90 km/hr. At what time will they meet each other?

11:30 AM

12:30 PM

12:00 Noon

1:00 PM

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Explanation:

Solution:
With 80 km/hr, distance travelled in 1 n half hours (9:30AM – 8AM) is 3/2 * 80 = 120 Km
Now second train also starts, and at this time distance between both trains is (545-120) = 425 km
Relative speed = 80+90 = 170 km/hr (when travelling in opposite direction, add speed)
So time when they meet = 425/170 = 2.5 hrs
So after 9:30 AM they meet after 2.5 hrs, so 12 AM