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A tractor plough along the sides of the square field of side 100 km long at a certain speed , if it increases its speed by 25% , it is able to finish the work 10 hours earlier . Find the actual speed of the tractor.1. 10 km/hr2. 8 km/hr3. 20 km/hr4. 15 km/hr5. 6 km/hr |
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Answer» Correct Answer - Option 2 : 8 km/hr Given: Side of the field = 100 km Calculations: The total distance traveled = 4 × 100 = 400 km Let the initial speed of the train = x km/hr Actual time taken by the train = 400/x hrs If it increases its speed by 25% , new speed will be ; ⇒ x + 25/100 x = x + x/4 = 5x/4 Time taken at increased speed = 400/(5x/4) = 1600/5x According to question , 400/x – 1600/5x = 10 ⇒ 2000/5x – 1600/5x = 10 ⇒ 8 km/hr |
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