S1 and S2 are two stations which are 195 km apart. A train starts from S1 at 4:00 pm and moves towards S2 at the speed of 65 km/h. Another train starts from S2 at 5:00 pm and moves towards S1 at the speed of 35 km/h. At what time will the two trains meet?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. 6:06 p.m.
  2. 6:30 p.m.
  3. 6:15 p.m.
  4. 6:18 p.m.

Answer (Detailed Solution Below)

Option 4 : 6:18 p.m.
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

S1 and S2 are two stations that are 195 km apart.

A train starts from S1 at 4:00 pm and moves towards S2 at the speed of 65 km/h.

Another train starts from S2 at 5:00 pm and moves towards S1 at the speed of 35 km/h.

Concept used:

Distance = speed × time

Calculation: 

From 4 pm to 5 pm is 1 hour.

In that 1 hour train S1 moves 65 km towards S2

Remaining distance of 195 - 65 = 130 km

Relative speed is 65 + 35 = 100 km/hr

The time will be 130/100 = 1.3 hr after 5 pm

The time will be 5 pm + 1 hr 18 minutes = 6 pm 18 minutes

∴ The correct option is 4

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