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Two Railways A and B depart for Los Angeles at 7:10 PM and 7:55 PM and ran at a pace of 160 kmph and 175 kmph respectively. How far from the Los Angeles will two railways meet?

Two Railways A and B depart for Los Angeles at 7:10 PM and 7:55 PM and ran at a pace of 160 kmph and 175 kmph respectively. How far from the Los Angeles will two railways meet? Correct Answer 1400 km

Given:

Train A and B departure time is 7:10 PM and 7:55 PM respectively

Their speed is 160 km/hr and 175 km/hr respectively

Formula used:

Distance = Speed × Time

Calculation

A starts at 7:10 PM and B starts after 45 min i.e 0.75 hours later.

S A = speed of A = 160 Kmph

S B = speed of B = 175 Kmph

A has traveled some extra distance before B started to run i.e the distance traveled in 0.75 hr

Distance traveled by A in initial 0.75 hr = S A × 0.75

⇒  160 × 0.75

⇒ 120 Km

Now at 7:55 PM, 

B starts to move while there is already a gap of 120 Km between A and B,

The relative speed of A and B will be, S B – S A = 15 Kmph

A and B will meet after,

⇒ 120/15 = 8 hour

The distance covered by B in 8 hours will be exactly the distance where A and B meet

⇒ Required Distance = 175 × 8 = 1400 Km

∴ A and B will meet 1400 Km far from Los Angeles.

Key Points

Relative speed: It is the algebraic net speed taken into consideration of two moving bodies for a motion in a straight line.

Case 1: When bodies are moving along the same direction

Relative speed = SB - SA

Case 2: When bodies are moving opposite to each other

Relative speed = SA + SB

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