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Question : P and Q, starting simultaneously from two different places, proceed towards each other at a speed of 20 km/h and 30 km/h, respectively. By the time they meet each other. Q has covered 36 km more than P. The distance (in km) between the two places is:

Option 1: 144

Option 2: 162

Option 3: 180

Option 4: 108


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 180


Solution : Let P and Q meet after t hours.
Distance = Speed × Time
Speed of P = 20 km/h
Speed of Q = 30 km/h
Distance covered by Q in t hrs = 30t
Distance covered by P in t hrs = 20t
According to the question,
30t – 20t = 36
⇒ 10t = 36
⇒ t = $\frac{36}{10}$ = 3.6 hours.
$\therefore$ Distance between P and Q
= 30t + 20t
= 50t = (50 × 3.6) km
= 180 km.
Hence, the correct answer is 180.

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