Karen travel at a speed of 25 km/h. If he has increased his speed by 15 km/h, he would have covered 90 km more in the same time. Find the actual distance travelled.

  1. 240 km
  2. 120 km
  3. 150 km
  4. 360 km

Answer (Detailed Solution Below)

Option 3 : 150 km
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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20 Questions 50 Marks 10 Mins

Detailed Solution

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Given

Speed= 25 km/h

Speed increased = 15 km/h

Formula used

Time = Distance/Speed

Calculation

Distance covered by Karan is x km

Time = x/25

Distances covered by Karan when speed increases = (x + 90) km

Time = (x + 90)/40

⇒ x/25 = (x + 90)/40

⇒ 40x = 25x + 2250

⇒ 15x = 2250

⇒ x = 2250/15

⇒ x = 150 km

∴ Karan travelled a distance of 150 km.

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