Correct Answer - Option 1 : 14 km

**Given:**

When speed is 15 kmph reaches 9 min late

When speed is 40% more reaches 7 min early

**Formula:**

Speed = distance/time

**Calculation:**

Let the distance be 'x' km

Therefore time taken to cover 'x' km at 15 kmph = x/15 hr

New speed = 15 + (40/100) × 15 = 15 + 6 = 21 kmph

Time taken to cover 'x 'km at 21 kmph = x/21 hr

But it is given that the difference between two timings

⇒ 9 + 7 = 16 min = 16/60 hr

⇒ x/15 – x/21 = 16/60

⇒ (21x − 15x)/(15 × 21) = 4/15

⇒ 6x/(15 × 21) = 4/15

⇒ x = 14 km

**∴ Distance from home to coaching class is 14 km**