Direction TestMTP Dec 2023 Series I/ MTP Sep 24 IQuestion 2318 of 165
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Ravi left home and cycled 10\displaystyle 10 km towards South, then turned right and cycled 5\displaystyle 5 km and then again turned right and cycled 10\displaystyle 10 km. After this he turned left and cycled 10\displaystyle 10 km. How many kms will he have to cycle to reach his home straight?

Options

A10\displaystyle 10 km
B15\displaystyle 15 km
C12\displaystyle 12 km
D17\displaystyle 17 km
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Correct Answer

✅ Option b — 15\displaystyle 15 km

All Options:

  • A10\displaystyle 10 km
  • B15\displaystyle 15 km
  • C12\displaystyle 12 km
  • D17\displaystyle 17 km

Detailed Solution & Explanation

Starting at home (0,0)\displaystyle (0,0), Ravi cycles 10 km South to (0,−10)\displaystyle (0, -10).
He then turns right (West) and travels 5 km to (−5,−10)\displaystyle (-5, -10).
He turns right again (North) and goes 10 km to (−5,0)\displaystyle (-5, 0).
Finally, he turns left (West) and travels 10 km to (−15,0)\displaystyle (-15, 0).
The straight-line distance from his final position (−15,0)\displaystyle (-15, 0) to home (0,0)\displaystyle (0,0) is:
Distance=5+10=15 km\text{Distance} = 5 + 10 = 15\text{ km}
Hence, **Option B** is the correct answer.

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