# A person travels at 40 kmph for first 3 hours and at 20 kmph for next two hour and in the end travels at 30 km/hr for one hour. Find the average speed

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A person travels at 40 kmph for first 3 hours and at 20 kmph for next two hour and in the end travels at 30 km/hr for one hour. Find the average speed during the whole journey.
1. 95/3 km/hr
2. 31 km/hr
3. 32 km/hr
4. 44 km/hr

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Correct Answer - Option 1 : 95/3 km/hr

Given

A person covered the distance in 3 hours  = 40 km per hr

A person covered the distance in 2 hours  = 20 km per hr

A person covered the distance in 1 hour = 30 km per hr

Calculation

Distance covered by a person in first 3 hours at a speed of 40 km/hr. = 3 × 40 = 120 km

Distance covered by person in next 2 hours at a speed of 20 km/hr. = 20 × 2 = 40 km

Distance covered in next 60 minutes at a speed of 30 km/hr. = 30 × 1 = 30 km

Total distance covered by the person 120 + 40 + 30 = 190 km

Total time taken = 3 + 2 + 1 = 6 hr.

Average speed = 190/6

⇒ 95/3 km/hr