The train runs for 2 ½ hours at a speed of 62 km/hr and at a speed of

1.	The train runs for 2 ½ hours at a speed of 62 km/hr and at a speed of 68 km/hr for 1 ¼ hour. Find the average speed of a trainA. 55 km/hr B. 64 km/hrC. 62 km/hrD. 70 km/hr1. A2. D3. C4. B
Answer» Correct Answer - Option 4 : B Given: Ran for 5/2 hours at 62km/hr, and for 5/4 hours at 68 km/hr Formula Used: Speed = Distance/Time Average speed = Total distance traveled/Total time taken Calculation: In the first case, ⇒ 62 = Distance/(5/2) ⇒ Distance = (62 × 5)/2 ⇒ Distance = 155 km In the second case, ⇒ 68 = Distance/(5/4) ⇒ Distance = (68 × 5)/4 ⇒ Distance = 85 km Using the formula for average speed, Average speed = (155 + 85)/(5/2 + 5/4) ⇒ Average speed = 16 × 4 ∴ The average speed of a train is 64 km/hr

The train runs for 2 ½ hours at a speed of 62 km/hr and at a speed of 68 km/hr for 1 ¼ hour. Find the average speed of a trainA. 55 km/hr B. 64 km/hrC. 62 km/hrD. 70 km/hr1. A2. D3. C4. B

Answer» Correct Answer - Option 4 : B

Given:

Ran for 5/2 hours at 62km/hr, and for 5/4 hours at 68 km/hr

Formula Used:

Speed = Distance/Time

Average speed = Total distance traveled/Total time taken

Calculation:

In the first case,

⇒ 62 = Distance/(5/2)

⇒ Distance = (62 × 5)/2

⇒ Distance = 155 km

In the second case,

⇒ 68 = Distance/(5/4)

⇒ Distance = (68 × 5)/4

⇒ Distance = 85 km

Using the formula for average speed,

Average speed = (155 + 85)/(5/2 + 5/4)

⇒ Average speed = 16 × 4

∴ The average speed of a train is 64 km/hr

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