CAT 2020 Slot 3 QA Question 24: A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The t

Question

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The t

Accepted Answer

Train A travels alone from 9:00 am to 10:30 am, i.e., for 1.5 hours.

Distance covered by A = $40 	imes 1.5 = 60$ km
Remaining distance between the two trains at 10:30 am = $90 - 60 = 30$ km

Relative speed after 10:30 am = $40 + 20 = 60$ km/hr

Time to meet after 10:30 am = $\dfrac{30}{60} = \dfra

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at