A person travels equal distances with speeds of 4 km / h, 6 km / h and

1.	A person travels equal distances with speeds of 4 km / h, 6 km / h and 8 km / h. He takes a total time of 32.5 minutes. Find the total distance travelled by him.1. 3 km2. 4.5 km3. 7.5 km4. 6 km
Answer» Correct Answer - Option 1 : 3 km Given: Distance is travelled by a person equally with the speed of 4 km/hr, 6 km/hr and 8 km/hr respectively Total time taken = 32.5 minutes Formula used: Time = Distance/Speed 1 hour = 60 minutes Calculation: Let the equal distance be D km Then total distance = 3D Now, the total time is taken = 32.5 minutes ⇒ (D/4) + (D/6) + (D/8) = (32.5/60) hrs ⇒ (6D + 4D + 3D)/24 = 32.5/60 ⇒ 13D = 32.5 × 24/60 ⇒ D = (32.5 × 24)/(60 × 13) ⇒ D = 1 km Total distance = 3 × 1 ⇒ 3 km. ∴ The total distance travelled by him is 3 km

A person travels equal distances with speeds of 4 km / h, 6 km / h and 8 km / h. He takes a total time of 32.5 minutes. Find the total distance travelled by him.1. 3 km2. 4.5 km3. 7.5 km4. 6 km

Answer» Correct Answer - Option 1 : 3 km

Given:

Distance is travelled by a person equally with the speed of 4 km/hr, 6 km/hr and 8 km/hr respectively

Total time taken = 32.5 minutes

Formula used:

Time = Distance/Speed

1 hour = 60 minutes

Calculation:

Let the equal distance be D km

Then total distance = 3D

Now, the total time is taken = 32.5 minutes

⇒ (D/4) + (D/6) + (D/8) = (32.5/60) hrs

⇒ (6D + 4D + 3D)/24 = 32.5/60

⇒ 13D = 32.5 × 24/60

⇒ D = (32.5 × 24)/(60 × 13)

⇒ D = 1 km

Total distance = 3 × 1

⇒ 3 km.

∴ The total distance travelled by him is 3 km

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