A person travels a certain distance in 10 hours, if he covers the firs

1.	A person travels a certain distance in 10 hours, if he covers the first half at a speed of 30 km/hr and second half with the speed of 20 km/hr, then what will be the total distance covered by him?1. 120 km2. 160 km3. 100 km4. 240 km
Answer» Correct Answer - Option 4 : 240 km Given: Total time taken = 10 hours Speed in first half = 30 km/hr Speed in second half = 20 km/hr Formula used: Time = Distance/Speed Calculation: Let the total distance covered be 2x km As, he covered the first half (i.e. x km) with 30 km/hr Time taken to cover first-half = Distance/Speed = x/30 hours He covered the second half (i.e. x km) with 20 km/hr Time taken to cover second half = x/20 hours Total time taken = 10 hours ⇒ x/30 + x/20 = 10 ⇒ 5x/60 = 10 ⇒ x = 120 Total distance covered by him = 2x = 2 × 120 = 240 km ∴ Total distance covered by him is 240 km

A person travels a certain distance in 10 hours, if he covers the first half at a speed of 30 km/hr and second half with the speed of 20 km/hr, then what will be the total distance covered by him?1. 120 km2. 160 km3. 100 km4. 240 km

Answer» Correct Answer - Option 4 : 240 km

Given:

Total time taken = 10 hours

Speed in first half = 30 km/hr

Speed in second half = 20 km/hr

Formula used:

Time = Distance/Speed

Calculation:

Let the total distance covered be 2x km

As, he covered the first half (i.e. x km) with 30 km/hr

Time taken to cover first-half = Distance/Speed = x/30 hours

He covered the second half (i.e. x km) with 20 km/hr

Time taken to cover second half = x/20 hours

Total time taken = 10 hours

⇒ x/30 + x/20 = 10

⇒ 5x/60 = 10

⇒ x = 120

Total distance covered by him = 2x = 2 × 120 = 240 km

∴ Total distance covered by him is 240 km

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