Question

19. In the journey of 96 km performed by taxi, train
and bus, the distance travelled by the three ways in
that order are in the ratio 5:8:3 and the charges
per km in ratio 4:3:2. If the taxi charges per km
was Rs. 2 the total charges for the journey is
Rs. .........​

Answer 1

Answer:

In the journey of 96 km performed by taxi, train

and bus, the distance travelled by the three ways in

that order are in the ratio 5:8:3 and the charges

per km in ratio 4:3:2. If the taxi charges per km

was Rs. 2 the total charges for the journey is

Rs. .........

143

Answer 2

Given,

The total distance of journey = 96km

The ratio of distance travelled by taxi, train and bus = 5:8:3

The charges per km by taxi, train and bus = 4:3:2

Taxi charges per kilometer = Rs.2

To Find,

The total cost of the journey.

Solution,

The distance covered by taxi = $\frac{5}{16}(96) = 30km$

The distance covered by train = $\frac{8}{16}(96) = 48km$

The distance covered by train = $\frac{3}{16}(96) = 18km$

Charges ratio for taxi, train and bus are in the ratio 4:3:2

Taxi charges per kilometer = Rs.2

Charges for train = $\frac{3}{4}$ parts of 2 = Rs.1.5

Charges for bus = $\frac{2}{4}$ parts of 2 = Rs.1

Total charges = (30×2)+(48×1.5)+(18×1)

= 60+72+18

= 150

Henceforth, the total cost of journey = Rs.150.