SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 84 of 100

Marks: +1, -0

Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/ hour faster than the other, then speed of train from Q is

$12 5/ 6$ km/hour
$10 5/ 6$ km/hour
$9 1 /2$ km/hour
$8 1 /2$ km/hour

Validate

Solution:

(3)

Speed of train starting from Q = x kmph
∴ Speed of train starting from P = (x + 8) kmph
According to the question,
PR + RQ = PQ
⇒ (x + 8) × 6 + x × 6 = 162
[Distance = Speed × Time]
⇒ 6x + 48 + 6x = 162
⇒ 12x = 162 – 48 = 114

⇒ x= {114}/{12}= {19}/{2}

=9 1 /2

km/hour

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