NIMCET 2019 Question Paper with solutions

Question : 55 of 120

Marks: +1, -0

Navjivan Express from Ahmedabad to Chennai leave Ahmedabad at 6.30 AM and travels at 50 kmph towards Baroda situated 100 km away. At 7.00 AM Howrah — Ahmedabad Express leave Baroda towards Ahmedabad and travels at 40 kmph. At 7.30 AM Mr. Shah, the traffic controller at Baroda, realizes that both the trains are running on the same track. How much time does he have to avert a head on collision between the two trains.

15 min
20 min
25 min
30 min

Validate

Solution:

Distance covered by Navjivan Exp. in

1/2

=\Speed×\Time=50×1/2=25

km
According to the question,

\text "Relative speed"=\text "Remaining distance"/\text "Time"

⇒(50+40)=(100-25)/\text "Time"

∴\Time=75/90=5/6h

5/6×60=50

min
Hence, required time to avert a head on collision between the two trains =

50-30=20

min

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