Question

The respective ratio between the speeds of a car, a scooter and a tractor is 5:3 2. The tractor covers 150 kms in 5 hours. What is the average of speeds of car and scooter together?

Answer 1

Dear Student,

Solution:

A.T.Q.

Tractor covers 150 km in 5 hours

Speed of tractor = 150/5 = 30 kmph

According to the question ratio of speed of car,scooter and tractor is 5:3:2

let the common ratio is x,

So, speed of car = 5x

Speed of scooter = 3x

and speed of tractor = 2x

speed of tractor is calculated previously

So,compare both speed 2x = 30

x = 15

speed of car = 5 × 15 = 75 kmph

Speed of scooter = 3 × 15 = 45 kmph

Average speed of car and scooter = (75+45)/2

= 120/2

= 60 kmph

Hope it helps you.

Answer 2

Hi ,

Let Speed of a car = 5x kmph

speed of a Scooter = 3x kmph

speed of the Tractor ,= 2x kmph

It is given that ,

in 5 hrs tractor covers 150 km

In 1 hr tractor covers the distance = 150/5

= 30 km

Speed of the Tractor = 30 kmph

According to the problem given ,

2x = 30

x = 30/2

x = 15

Therefore ,

Speed of the Car = 5x kmph

= 5 × 15 = 75 kmph

Speed of the Scooter = 3x

= 3 × 15 = 45 Kmph

Speed of the Tractor = 2x

= 2 × 15 = 30kmph

Average speed of car and Scooter

= ( 75 + 45 )/2

= 120/2

= 60 Kmph

I hope this helps you.

: )