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The difference between the speeds of A and B is 10 km/hr. To travel a distance of 600 km, B takes 3 more hours than A. Find the time B will take to cover a distance of 2400 km.1. 702. 603. 504. 80 |
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Answer» Correct Answer - Option 2 : 60 Given: The difference between the speeds of A and B is 10 km/hr. To travel a distance of 600 km, B takes 3 more hours than A. Formula Used: Distance = time x speed Calculation: Let speed of A be x km/hr and speed of B be (x – 10) km/hr ATQ, 600/(x – 10) – 600/x = 3 ⇒ x2 – 10x – 2000 = 0 ⇒ x = 50, - 40 But x cannot be - 40, So, it will be 50 So, the speed of B = (50 – 10) km/hr = 40 km/hr Time = (2400/40) hours = 60 hours ∴ B will take 60 hours. |
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