Question

A car completes a certain journey in 6 hours. It covers (1/4)^th of the distance at 90 km/h and rest at 30 km/h. Find the distance (in km) of the journey.

A. (6)³

B. 12 × 19

C. 216

D. 250

1. C
2. A and C
3. B
4. D

Answer 1

Correct Answer - Option 2 : A and C

Given:

Total time taken to complete the journey = 6 h

The car covers (1/4)^th of the distance at speed of 90 km/h

The car covers rest of the distance at speed of 30 km/h

Calculation:

Let x be the distance of the journey

{(x/4)/90} + {(3x/4)/30} = 6

⇒ {x/360} + {3x/120} = 6

⇒ (x + 9x)/360 = 6

⇒ 10x = 2160

⇒ x = 216

A. (6)3

A = 216

A is correct.

C. 216

C is correct.

∴ A and C is correct.