Question

The ratio of the speed of a bus to that of a train is 15:27.
Also, a car covered a distance of 720 km in 9 hours. The
speed of the bus is three-fourths the speed of the car. How
much distance will the train cover in 7 hours ?
a. 760 km
b. 756 km .
c. 740 km
d. Cannot be determined
e. None of these​

Answer 1

Answer:

756km is the distance covered by the train in 7hours

Answer 2

Answer:

756 km is the correct answer.  (Option B)

Train will cover distance in 7 hours is 756 km.

Given Data:

Ratio: 15:247

Distance = 720 km  

Hour = 9

Distance =7hrs.

Step 1:

Ratio of speed of Bus and Train = 15 : 27.

Let speed of the bus is 15X and Speed of the Train is 27X.

Car Covered 720 km in 9 hours.

So, Speed (Car) = $\frac{720}{9}$ = 80 kmph.

Step 2:

Given, Speed of the bus is $\frac{3}{4}$ of Car,  

Speed (Bus) =  $\frac{80 \times 3}{4}$= 60 kmph.

Thus,

15X = 60

X = 4

Step 3:  

Speed = 27X = 27 $\times$4 = 108 kmph.

Step 4:

Train will cover distance in 7 hours,

= 108$\times$7 = 756 km.