Mrs Sher left home at 8 a.m. and drove towards the city. 1¹₂ hour later, Mr Sher left the house and drove at an average speed of 93 km/h towards the city. When Mr Sher reached his destination at 2 p.m., Mrs Sher was 27 km away from the city. Find Mrs Sher’s average speed in km/h. Express your answer in mixed number.
1 h = 60 min 
¹₂ h = ¹₂ x 60 = 30 min
1¹₂ = 1 h 30 min

1 h 30 min after 8 a.m. = 9.30 a.m.

Time that Mr Sher left the house = 9.30 a.m.

Time that Mr Sher took from 9.30 a.m. to 2 p.m. to reach his destination = 4 h 30 min

1 min = ¹₆₀ h
30 min = ³⁰₆₀ h = ¹₂ h
4 h 30 min = 4¹₂ h

Distance that Mr Sher drove
= 4¹₂ x 93
= 418¹₂ km

Distance that Mrs Sher drove when Mr Sher reached
= 418¹₂ - 27 
= 391¹₂ km

Time that Mrs Sher took to travel from 8 a.m. to 2 p.m. = 6 h

Mrs Sher's average speed
= 391¹₂ ÷ 6
= 65¹₄ km/h

Answer(s): 65¹₄ km/h