Kishore covers 2/5 of the total distance by car, 8/15 by cycle and the

1.	Kishore covers 2/5 of the total distance by car, 8/15 by cycle and the remaining distance by walking, at 6 kilometers per hour, is covered in 40 minutes. The total distance traveled by him is …….1. 60 kilometers2. 67.5 kilometers3. 65 kilometers4. 69.5 kilometers
Answer» Correct Answer - Option 1 : 60 kilometers Given: Kishore covers 2/5 of the total distance by car He covers 8/15 of the total distance by cycle He covers the remaining distance by walking at 6 km/h in 40 minutes Formula Used: Distance = Speed × Time Calculation: Let the total distance covered by Kishore be D km Remaining distance covered by walking = D – 2D/5 – 8D/15 ⇒ (15D – 6D – 8D)/15 ⇒ D/15 Kishore covers the remaining distance by walking at 6 km/h in 40 minutes 40 minutes = 40/60 hours ⇒ D/15 = 6 × (40/60) ⇒ D = 15 × 4 ⇒ D = 60 Total distance covered by Kishore = D km ⇒ 60 km ∴ The total distance covered by Kishore is 60 kilometers

Kishore covers 2/5 of the total distance by car, 8/15 by cycle and the remaining distance by walking, at 6 kilometers per hour, is covered in 40 minutes. The total distance traveled by him is …….1. 60 kilometers2. 67.5 kilometers3. 65 kilometers4. 69.5 kilometers

Answer» Correct Answer - Option 1 : 60 kilometers

Given:

Kishore covers 2/5 of the total distance by car

He covers 8/15 of the total distance by cycle

He covers the remaining distance by walking at 6 km/h in 40 minutes

Formula Used:

Distance = Speed × Time

Calculation:

Let the total distance covered by Kishore be D km

Remaining distance covered by walking = D – 2D/5 – 8D/15

⇒ (15D – 6D – 8D)/15

⇒ D/15

Kishore covers the remaining distance by walking at 6 km/h in 40 minutes

40 minutes = 40/60 hours

⇒ D/15 = 6 × (40/60)

⇒ D = 15 × 4

⇒ D = 60

Total distance covered by Kishore = D km

⇒ 60 km

∴ The total distance covered by Kishore is 60 kilometers

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