Ram makes four trips of equal distances. His speed on first trip was 1

1.	Ram makes four trips of equal distances. His speed on first trip was 120 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed of Ram in these four trips?1. 16 km/hr2. 32 km/hr3. 35 km/hr4. 64 km/hr
Answer» Correct Answer - Option 2 : 32 km/hr Given: The speed of the Ram in his first trip = 120 km/h Formula used: \(Average\ speed =\ {Total\ distance \over Total\ time}\) Calculation: Let us assume the distance on the first trip is X ⇒ The total distance = 4X ⇒ The speed on first trip = 120 km/h ⇒ The speed on second trip = 60 km/h ⇒ The speed on the third trip = 30 km/h ⇒ The speed on the fourth trip = 15 km/h ⇒ The total time is taken by Ram in the whole trip = \({X\over120}\ +\ {X\over60}\ +\ {X\over30}\ +\ {X\over15}\) = \({15X\over120}\) = \(X\over8\) ⇒ The average speed = \({4X\over {X\over8}}\) = 32 km/h ∴ The required result will be 32 km/h.

Ram makes four trips of equal distances. His speed on first trip was 120 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed of Ram in these four trips?1. 16 km/hr2. 32 km/hr3. 35 km/hr4. 64 km/hr

Answer» Correct Answer - Option 2 : 32 km/hr

Given:

The speed of the Ram in his first trip = 120 km/h

Formula used:

\(Average\ speed =\ {Total\ distance \over Total\ time}\)

Calculation:

Let us assume the distance on the first trip is X

⇒ The total distance = 4X

⇒ The speed on first trip = 120 km/h

⇒ The speed on second trip = 60 km/h

⇒ The speed on the third trip = 30 km/h

⇒ The speed on the fourth trip = 15 km/h

⇒ The total time is taken by Ram in the whole trip = \({X\over120}\ +\ {X\over60}\ +\ {X\over30}\ +\ {X\over15}\) = \({15X\over120}\) = \(X\over8\)

⇒ The average speed = \({4X\over {X\over8}}\) = 32 km/h

∴ The required result will be 32 km/h.

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