Correct Answer - Option 1 : 6 km
Given ∶
Ratio of their speeds = 5 ∶ 4
Dsiatance between Sahajanpur and Bareilly = 54 km
Formula Used ∶
If a ∶ b ∶ ∶ c ∶ d, then
Product of Extremes = Product of Mean
Calculation ∶
Speed of a sports car ∶ Speed of an electric car ∶ ∶ 5 ∶ 4
Since, Distance Speed, Distance travelled by sports car ∶ Distance travelled by an electric car ∶ ∶ 5 ∶ 4
Let the distance between Bareilly and Tanda be x km
Then distance travelled by a sports car = 54 + x
While, the distance travelled by an electric car = 54 - x
∴ 54 + x ∶ 54 - x ∶ ∶ 5 ∶ 4
On solving this, we get
⇒ 216 + 4x = 270 - 5x
⇒ 9x = 54
⇒ x = 6 km
∴ The distance between Bareilly and Tanda is of 6 km.