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.