Question

Car A went 60 km in 5 6 hour while a car B went 54 km in 2 3 hour. Which car was faster? How many times faster?

Answer 1

Car B was faster . Speed of Car B was 9/8 times Speed of Car A

Explanation:

Distance traveled by Car A = 60 km

Time taken by Car A =
`(5)/(6) hour`

Speed =
`(Distance)/(Time)`

Speed =
`(60)/((5)/(6))`

Speed of car A=
`60 * (6)/(5)= 72 km /hr`

Distance traveled by Car B = 54 km

Time taken by Car B =
`(2)/(3) hour`

Speed of car B=
`(Distance)/(Time)`

Speed =
`(54)/((2)/(3))`

Speed of car A=
`54 * (3)/(2)= 81 km /hr`

`\frac{\text{Speed of car B}}{\text{Speed of car A}}=(81)/(72)\\\text{Speed of car B}=(81)/(72) * \text{Speed of car A}\\\text{Speed of car B}=(9)/(8) * \text{Speed of car A}`

So, Car B was faster . Car B was 9/8 times faster than Car A