Rohan and Amit participate in 300 m race. Amit won the race and takes

1.	Rohan and Amit participate in 300 m race. Amit won the race and takes 1.5 seconds less than Rohan to finish the race and the speed of Rohan is 10 m/sec less than Amit’s speed. Find the speed of Amit.1. 25 m/s2. 50 m/s 3. 30 m/s4. 60 m/s 5. 90 m/s
Answer» Correct Answer - Option 2 : 50 m/s Given : Distance = 300 m Time taken by Rohan is 1.5s more than Amit. The speed of Rohan is 10 m/s less than the speed of Amit. Formula used : Speed = Distance/Time Calculations: Let the speed of Amit is x m/s Then the speed of Rohan is (x - 10)m/s Time taken by Amit to complete the race = 300/x sec Time taken by Rohan to complete the race = 300/(x -10) sec According to question, 300/(x - 10) - 300/(x) = 1.5 ----(1) ⇒ x²- 10x - 2000 = 0 ⇒ x = 50 and -40 ⇒ Eliminating x = - 40 , we get x = 50 ⇒ Speed of Amit = 50 m/s ∴ Speed of Amit is 50 m/s

Rohan and Amit participate in 300 m race. Amit won the race and takes 1.5 seconds less than Rohan to finish the race and the speed of Rohan is 10 m/sec less than Amit’s speed. Find the speed of Amit.1. 25 m/s2. 50 m/s 3. 30 m/s4. 60 m/s 5. 90 m/s

Answer» Correct Answer - Option 2 : 50 m/s

Given :

Distance = 300 m

Time taken by Rohan is 1.5s more than Amit.

The speed of Rohan is 10 m/s less than the speed of Amit.

Formula used :

Speed = Distance/Time

Calculations:

Let the speed of Amit is x m/s

Then the speed of Rohan is (x - 10)m/s

Time taken by Amit to complete the race = 300/x sec

Time taken by Rohan to complete the race = 300/(x -10) sec

According to question,

300/(x - 10) - 300/(x) = 1.5 ----(1)

⇒ x²- 10x - 2000 = 0

⇒ x = 50 and -40

⇒ Eliminating x = - 40 , we get x = 50

⇒ Speed of Amit = 50 m/s

∴ Speed of Amit is 50 m/s

Discussion

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