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Time, Speed & Distance · Question 33 of 71

Question 33

MediumOriginal question

Towns P and Q are 260 km apart. Car A leaves P for Q at 9:00 a.m. at 50 km/h. Car B leaves Q for P at 10:00 a.m. at 55 km/h. At what time do the cars meet?

11:00 a.m.Correct answerYour answer12:00 noonCorrect answerYour answer12:30 p.m.Correct answerYour answer1:00 p.m.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

By 10:00 a.m. car A has gone 50 km, leaving a gap of 210 km.
From then they close the gap at $50 + 55 = 105$ km/h.
Time $= \frac{210}{105} = 2$ h after 10:00 a.m., so they meet at 12:00 noon.

Worth noting

11:00 a.m. adds the 2 hours to car A's start instead of to 10:00 a.m., when both cars are moving.

Concept: Meeting time when one vehicle starts later
Typical timeTypical: 75 s
Your timeYours: —

The rule this testsRelative speed

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