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  1. A moving train, 66 metres long, overtakes another train of 88 metres long, moving in the same direction in 0.168 minutes. If the second train is moving at 30 km/hr, at what speed is the first train moving ?
    1. 85 km/hr.
    2. 50 km/hr.
    3. 55 km/hr.
    4. 25 km/hr.
Correct Option: A

Suppose the speed of first train be x kmph
Speed of second train = 30 kmph

=
3 × 1000
= 500 m per min.
60

∴  According to question
Total Distance
Relative speed

=
(66 + 88)
= 0.168
x − 500

⇒ 
154
= 0.168
x − 500

⇒  0.168x – 84 = 154
⇒  0.168x = 238
⇒  x =
238
0.168

=
238 × 1000
m per minute
168

=
238 × 1000
×
3
kmph
16850

= 85 kmph



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