Correct Answer - Option 1 : (56/3) km

**Given:**

When speed is 14 kmph reaches 6 min late

When speed is 35 kmph reaches 42 min late

**Formula:**

Speed = distance/time

**Calculation:**

Let the distance be 'x' km

Therefore time taken to cover 'x' km at 14 kmph = x/14 hr

Time taken to cover 'x'km at 35 kmph = x/35 hr

But it is given that the difference between two timings

⇒ 42 + 6 = 48 min = 48/60 hr = 4/5

⇒ x/14 – x/35 = 4/5

⇒ (35x − 14x)/(35 × 14) = 4/5

⇒ 21x/(35 × 14) = 4/5

⇒ x = 56/3 km

**∴**** Distance between home and temple is (56/3) km.**