Two cyclists X and Y start at the same time from place A and go to towards place B at a speed of 6 km/h and 8 km/h, respectively. Despite stopping for 15 minutes during the journey, Y reaches 10 minutes earlier than X. The distance between the places A and B is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 10 km.
| Understanding/Application |
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Time taken by x = Time taken by y + 10 min Time = distance/speed Let the distance be m. m/6 = m/8 + 15/60 + 10/60 m/6 = m/8 + 1/4 + 1/6 |
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m/6 = (3m + 6 + 4)/24 m = (3m + 10)/4 4m - 3m = 10 m = 10 km |