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Time, Speed & Distance · Question 15 of 71

Question 15

MediumOriginal question

Harpreet rides to her aunt's farm at 12 km/h and returns at 18 km/h. The two rides together take 5 hours. How far is the farm?

Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. d12+d18=5\frac{d}{12} + \frac{d}{18} = 5.

  2. LCM 36: 3d+2d36=5\frac{3d + 2d}{36} = 5, so 5d=1805d = 180.

  3. d=36d = 36 km.

Worth noting

72 km is the total distance of the round trip. The farm is half of that.

Concept
Total time of a round trip at two speeds
Typical time
60 s
Your time
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The rule this testsSpeed, conversion and average speed
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Ten questions from Time, Speed & Distance, at your own pace.

Practise this chapter →

Ten questions from Time, Speed & Distance, at your own pace.