Question

Renu travelled a certain distance in 2 hrs and 5 minutes.she travelled this distance partly by car and partly by bus. The speed of the bus is 28 km/h and the speed of the car is 42km /h. If the distance travelled by the car is equal to the distance travelled by bus .what is the total distamce that she travelled

Answer 1

here is your answer......70 km

Answer 2

Answer:

70 km

Step-by-step explanation:

Let the total distance be x

The distance traveled by the car is equal to the distance traveled by bus

So, distance traveled by car = Distance traveled by bus =$\frac{x}{2}$

Car case

Distance = $\frac{x}{2}$

The speed of the car is 42 km /h.

$Time = \frac{Distance}{Speed}$

$Time = \frac{\frac{x}{2}}{42}$

Bus Case

Distance = $\frac{x}{2}$

The speed of the bus is 28 km/h

$Time = \frac{Distance}{Speed}$

$Time = \frac{\frac{x}{2}}{28}$

We are given that Renu traveled a certain distance in 2 hrs and 5 minutes

So, Total time = 2 hours 5 minutes = $2+\frac{5}{60}=\frac{25}{12}$ hours

So, $\frac{25}{12} = \frac{\frac{x}{2}}{42}+ \frac{\frac{x}{2}}{28}$

$\frac{25}{12} = \frac{x}{84}+ \frac{x}{56}$

$\frac{25}{12} =\frac{5x}{168}$

$\frac{25 \times 168}{12 \times 5} =x$

$70 =x$

Hence the total distance that she traveled is 70 km.